Stein, Elias M. 1931
Overview
Works:  92 works in 436 publications in 7 languages and 9,467 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Honoree, Opponent, Contributor, Dedicatee 
Classifications:  QA403, 515.2433 
Publication Timeline
.
Most widely held works about
Elias M Stein
 On a conjecture of E.M. Stein on the Hilbert transform on vector fields by Michael T Lacey( Book )
 On a conjecture of E. M. Stein on the Hilbert transform on vector fields by Michael T Lacey( )
 by Stein family( )
 Advances in analysis : the legacy of Elias M. Stein by Charles Fefferman( )
Most widely held works by
Elias M Stein
Introduction to Fourier analysis on Euclidean spaces by
Elias M Stein(
Book
)
31 editions published between 1971 and 2009 in English and Russian and held by 780 WorldCat member libraries worldwide
The authors present a unified treatment of basic topics that arise in Fourier analysis. Their intention is to illustrate the role played by the structure of Euclidean spaces, particularly the action of translations, dilatations, and rotations, and to motivate the study of harmonic analysis on more general spaces having an analogous structure, e.g., symmetric spaces
31 editions published between 1971 and 2009 in English and Russian and held by 780 WorldCat member libraries worldwide
The authors present a unified treatment of basic topics that arise in Fourier analysis. Their intention is to illustrate the role played by the structure of Euclidean spaces, particularly the action of translations, dilatations, and rotations, and to motivate the study of harmonic analysis on more general spaces having an analogous structure, e.g., symmetric spaces
Singular integrals and differentiability properties of functions by
Elias M Stein(
Book
)
37 editions published between 1970 and 2011 in 3 languages and held by 743 WorldCat member libraries worldwide
37 editions published between 1970 and 2011 in 3 languages and held by 743 WorldCat member libraries worldwide
Harmonic analysis : realvariable methods, orthogonality, and oscillatory integrals by
Elias M Stein(
Book
)
18 editions published between 1992 and 1995 in English and held by 547 WorldCat member libraries worldwide
18 editions published between 1992 and 1995 in English and held by 547 WorldCat member libraries worldwide
Topics in harmonic analysis, related to the LittlewoodPaley theory by
Elias M Stein(
Book
)
22 editions published between 1970 and 1985 in English and Undetermined and held by 542 WorldCat member libraries worldwide
22 editions published between 1970 and 1985 in English and Undetermined and held by 542 WorldCat member libraries worldwide
Fourier analysis : an introduction by
Elias M Stein(
Book
)
20 editions published between 2003 and 2013 in English and Japanese and held by 531 WorldCat member libraries worldwide
This first volume, a threepart introduction to Fourier analysis, is intended for students with a beginning knowledge of mathematical analysis. The text includes coverage of: notions of convergence and summability of Fourier series; and Fourier theory for finite abelian groups
20 editions published between 2003 and 2013 in English and Japanese and held by 531 WorldCat member libraries worldwide
This first volume, a threepart introduction to Fourier analysis, is intended for students with a beginning knowledge of mathematical analysis. The text includes coverage of: notions of convergence and summability of Fourier series; and Fourier theory for finite abelian groups
Complex analysis by
Elias M Stein(
Book
)
22 editions published between 2003 and 2013 in English and Japanese and held by 470 WorldCat member libraries worldwide
With this second volume in the series, we enter the world of complex analysis. From the first theorems on, the elegance and sweep of the results is evident. The book includes coverage of: the main properties of holomorphic functions; and an introduction to elliptic functions
22 editions published between 2003 and 2013 in English and Japanese and held by 470 WorldCat member libraries worldwide
With this second volume in the series, we enter the world of complex analysis. From the first theorems on, the elegance and sweep of the results is evident. The book includes coverage of: the main properties of holomorphic functions; and an introduction to elliptic functions
Real analysis : measure theory, integration, and Hilbert spaces by
Elias M Stein(
Book
)
18 editions published between 2004 and 2013 in English and held by 457 WorldCat member libraries worldwide
Real Analysis is the third volume in the Princeton Lectures in Analysis, a series of four textbooks that aim to present, in an integrated manner, the core areas of analysis. Here the focus is on the development of measure and integration theory, differentiation and integration, Hilbert spaces, and Hausdorff measure and fractals. This book reflects the objective of the series as a whole: to make plain the organic unity that exists between the various parts of the subject, and to illustrate the wide applicability of ideas of analysis to other fields of mathematics and science. After setting fort
18 editions published between 2004 and 2013 in English and held by 457 WorldCat member libraries worldwide
Real Analysis is the third volume in the Princeton Lectures in Analysis, a series of four textbooks that aim to present, in an integrated manner, the core areas of analysis. Here the focus is on the development of measure and integration theory, differentiation and integration, Hilbert spaces, and Hausdorff measure and fractals. This book reflects the objective of the series as a whole: to make plain the organic unity that exists between the various parts of the subject, and to illustrate the wide applicability of ideas of analysis to other fields of mathematics and science. After setting fort
Boundary behavior of holomorphic functions of several complex variables by
Elias M Stein(
Book
)
19 editions published between 1971 and 2015 in English and held by 426 WorldCat member libraries worldwide
This book has as its subject the boundary value theory of holomorphic functions in several complex variables, a topic that is just now coming to the forefront of mathematical analysis. For one variable, the topic is classical and rather well understood. In several variables, the necessary understanding of holomorphic functions via partial differential equations has a recent origin, and Professor Stein's book, which emphasizes the potentialtheoretic aspects of the boundary value problem, should become the standard work in the field. Originally published in 1972. The Princeton Legacy Library uses the latest printondemand technology to again make available previously outofprint books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905
19 editions published between 1971 and 2015 in English and held by 426 WorldCat member libraries worldwide
This book has as its subject the boundary value theory of holomorphic functions in several complex variables, a topic that is just now coming to the forefront of mathematical analysis. For one variable, the topic is classical and rather well understood. In several variables, the necessary understanding of holomorphic functions via partial differential equations has a recent origin, and Professor Stein's book, which emphasizes the potentialtheoretic aspects of the boundary value problem, should become the standard work in the field. Originally published in 1972. The Princeton Legacy Library uses the latest printondemand technology to again make available previously outofprint books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905
Beijing lectures in harmonic analysis by
Elias M Stein(
Book
)
19 editions published between 1986 and 2016 in 3 languages and held by 403 WorldCat member libraries worldwide
Based on seven lecture series given by leading experts at a summer school at Peking University, in Beijing, in 1984. this book surveys recent developments in the areas of harmonic analysis most closely related to the theory of singular integrals, realvariable methods, and applications to several complex variables and partial differential equations. The different lecture series are closely interrelated; each contains a substantial amount of background material, as well as new results not previously published. The contributors to the volume are R.R. Coifman and Yves Meyer, Robert Fcfferman, Carlos K. Kenig, Steven G. Krantz, Alexander Nagel, E.M. Stein, and Stephen Wainger
19 editions published between 1986 and 2016 in 3 languages and held by 403 WorldCat member libraries worldwide
Based on seven lecture series given by leading experts at a summer school at Peking University, in Beijing, in 1984. this book surveys recent developments in the areas of harmonic analysis most closely related to the theory of singular integrals, realvariable methods, and applications to several complex variables and partial differential equations. The different lecture series are closely interrelated; each contains a substantial amount of background material, as well as new results not previously published. The contributors to the volume are R.R. Coifman and Yves Meyer, Robert Fcfferman, Carlos K. Kenig, Steven G. Krantz, Alexander Nagel, E.M. Stein, and Stephen Wainger
Analytic continuation of group representations by
Elias M Stein(
Book
)
21 editions published between 1967 and 1992 in English and Italian and held by 372 WorldCat member libraries worldwide
21 editions published between 1967 and 1992 in English and Italian and held by 372 WorldCat member libraries worldwide
Lectures on pseudodifferential operators : regularity theorems and applications to nonelliptic problems by
Alexander Nagel(
Book
)
15 editions published between 1979 and 2015 in English and Portuguese and held by 369 WorldCat member libraries worldwide
The theory of pseudodifferential operators (which originated as singular integral operators) was largely influenced by its application to function theory in one complex variable and regularity properties of solutions of elliptic partial differential equations. Given here is an exposition of some new classes of pseudodifferential operators relevant to several complex variables and certain nonelliptic problems.Originally published in 1979.The Princeton Legacy Library uses the latest printondemand technology to again make available previously outofprint books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905
15 editions published between 1979 and 2015 in English and Portuguese and held by 369 WorldCat member libraries worldwide
The theory of pseudodifferential operators (which originated as singular integral operators) was largely influenced by its application to function theory in one complex variable and regularity properties of solutions of elliptic partial differential equations. Given here is an exposition of some new classes of pseudodifferential operators relevant to several complex variables and certain nonelliptic problems.Originally published in 1979.The Princeton Legacy Library uses the latest printondemand technology to again make available previously outofprint books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905
Hardy spaces on homogeneous groups by
G. B Folland(
Book
)
12 editions published between 1982 and 1985 in English and Undetermined and held by 354 WorldCat member libraries worldwide
12 editions published between 1982 and 1985 in English and Undetermined and held by 354 WorldCat member libraries worldwide
Estimates for the [Dbar]Neumann problem by
P. C Greiner(
Book
)
15 editions published in 1977 in English and held by 352 WorldCat member libraries worldwide
15 editions published in 1977 in English and held by 352 WorldCat member libraries worldwide
Functional analysis : introduction to further topics in analysis by
Elias M Stein(
Book
)
13 editions published between 2011 and 2013 in English and held by 325 WorldCat member libraries worldwide
"This is the fourth and final volume in the Princeton Lectures in Analysis, a series of textbooks that aim to present, in an integrated manner, the core areas of analysis. Beginning with the basic facts of functional analysis, this volume looks at Banach spaces, Lp spaces, and distribution theory, and highlights their roles in harmonic analysis. The authors then use the Baire category theorem to illustrate several points, including the existence of Besicovitch sets. The second half of the book introduces readers to other central topics in analysis, such as probability theory and Brownian motion, which culminates in the solution of Dirichlet's problem. The concluding chapters explore several complex variables and oscillatory integrals in Fourier analysis, and illustrate applications to such diverse areas as nonlinear dispersion equations and the problem of counting lattice points. Throughout the book, the authors focus on key results in each area and stress the organic unity of the subject. A comprehensive and authoritative text that treats some of the main topics of modern analysis. A look at basic functional analysis and its applications in harmonic analysis, probability theory, and several complex variables. Key results in each area discussed in relation to other areas of mathematics. Highlights the organic unity of large areas of analysis traditionally split into subfields. Interesting exercises and problems illustrate ideas. Clear proofs provided" Provided by publisher
13 editions published between 2011 and 2013 in English and held by 325 WorldCat member libraries worldwide
"This is the fourth and final volume in the Princeton Lectures in Analysis, a series of textbooks that aim to present, in an integrated manner, the core areas of analysis. Beginning with the basic facts of functional analysis, this volume looks at Banach spaces, Lp spaces, and distribution theory, and highlights their roles in harmonic analysis. The authors then use the Baire category theorem to illustrate several points, including the existence of Besicovitch sets. The second half of the book introduces readers to other central topics in analysis, such as probability theory and Brownian motion, which culminates in the solution of Dirichlet's problem. The concluding chapters explore several complex variables and oscillatory integrals in Fourier analysis, and illustrate applications to such diverse areas as nonlinear dispersion equations and the problem of counting lattice points. Throughout the book, the authors focus on key results in each area and stress the organic unity of the subject. A comprehensive and authoritative text that treats some of the main topics of modern analysis. A look at basic functional analysis and its applications in harmonic analysis, probability theory, and several complex variables. Key results in each area discussed in relation to other areas of mathematics. Highlights the organic unity of large areas of analysis traditionally split into subfields. Interesting exercises and problems illustrate ideas. Clear proofs provided" Provided by publisher
Essays on Fourier analysis in honor of Elias M. Stein(
Book
)
10 editions published in 1995 in English and held by 308 WorldCat member libraries worldwide
This book contains the lectures presented at a conference held at Princeton University in May 1991 in honor of Elias M. Stein's sixtieth birthday. The lectures deal with Fourier analysis and its applications. The contributors to the volume are W. Beckner, A. Boggess, J. Bourgain, A. Carbery, M. Christ, R.R. Coifman, S. Dobyinsky, C. Fefferman, R. Fefferman, Y. Han, D. Jerison, P.W. Jones, C. Kenig, Y. Meyer, A. Nagel, D.H. Phong, J. Vance, S. Wainger, D. Watson, G. Weiss, V. Wickerhauser, and T.H. Wolff. The topics of the lectures are: conformally invariant inequalities, oscillatory integrals, analytic hypoellipticity, wavelets, the work of E.M. Stein, elliptic nonsmooth PDE, nodal sets of eigenfunctions, removable sets for Sobolev spaces in the plane, nonlinear dispersive equations, bilinear operators and renormalization, holomorphic functions on wedges, singular Radon and related transforms, Hilbert transforms and maximal functions on curves, Besov and related function spaces on spaces of homogeneous type, and counterexamples with harmonic gradients in Euclidean space
10 editions published in 1995 in English and held by 308 WorldCat member libraries worldwide
This book contains the lectures presented at a conference held at Princeton University in May 1991 in honor of Elias M. Stein's sixtieth birthday. The lectures deal with Fourier analysis and its applications. The contributors to the volume are W. Beckner, A. Boggess, J. Bourgain, A. Carbery, M. Christ, R.R. Coifman, S. Dobyinsky, C. Fefferman, R. Fefferman, Y. Han, D. Jerison, P.W. Jones, C. Kenig, Y. Meyer, A. Nagel, D.H. Phong, J. Vance, S. Wainger, D. Watson, G. Weiss, V. Wickerhauser, and T.H. Wolff. The topics of the lectures are: conformally invariant inequalities, oscillatory integrals, analytic hypoellipticity, wavelets, the work of E.M. Stein, elliptic nonsmooth PDE, nodal sets of eigenfunctions, removable sets for Sobolev spaces in the plane, nonlinear dispersive equations, bilinear operators and renormalization, holomorphic functions on wedges, singular Radon and related transforms, Hilbert transforms and maximal functions on curves, Besov and related function spaces on spaces of homogeneous type, and counterexamples with harmonic gradients in Euclidean space
Advances in analysis : the legacy of Elias M. Stein by
Charles Fefferman(
Book
)
9 editions published between 2013 and 2014 in English and held by 157 WorldCat member libraries worldwide
"Princeton University's Elias Stein was the first mathematician to see the profound interconnections that tie classical Fourier analysis to several complex variables and representation theory. His fundamental contributions include the KunzeStein phenomenon, the construction of new representations, the Stein interpolation theorem, the idea of a restriction theorem for the Fourier transform, and the theory of Hp Spaces in several variables. Through his great discoveries, through books that have set the highest standard for mathematical exposition, and through his influence on his many collaborators and students, Stein has changed mathematics. Drawing inspiration from Stein's contributions to harmonic analysis and related topics, this volume gathers papers from internationally renowned mathematicians, many of whom have been Stein's students. The book also includes expository papers on Stein's work and its influence.The contributors are Jean Bourgain, Luis Caffarelli, Michael Christ, Guy David, Charles Fefferman, Alexandru Ionescu, David Jerison, Carlos Kenig, Sergiu Klainerman, Loredana Lanzani, Sanghyuk Lee, Lionel Levine, Akos Magyar, Detlef Müller, Camil Muscalu, Alexander Nagel, D. H. Phong, Malabika Pramanik, Andrew Raich, Fulvio Ricci, Keith Rogers, Andreas Seeger, Scott Sheffield, Luis Silvestre, Christopher Sogge, Jacob Sturm, Terence Tao, Christoph Thiele, Stephen Wainger, and Steven Zelditch"
9 editions published between 2013 and 2014 in English and held by 157 WorldCat member libraries worldwide
"Princeton University's Elias Stein was the first mathematician to see the profound interconnections that tie classical Fourier analysis to several complex variables and representation theory. His fundamental contributions include the KunzeStein phenomenon, the construction of new representations, the Stein interpolation theorem, the idea of a restriction theorem for the Fourier transform, and the theory of Hp Spaces in several variables. Through his great discoveries, through books that have set the highest standard for mathematical exposition, and through his influence on his many collaborators and students, Stein has changed mathematics. Drawing inspiration from Stein's contributions to harmonic analysis and related topics, this volume gathers papers from internationally renowned mathematicians, many of whom have been Stein's students. The book also includes expository papers on Stein's work and its influence.The contributors are Jean Bourgain, Luis Caffarelli, Michael Christ, Guy David, Charles Fefferman, Alexandru Ionescu, David Jerison, Carlos Kenig, Sergiu Klainerman, Loredana Lanzani, Sanghyuk Lee, Lionel Levine, Akos Magyar, Detlef Müller, Camil Muscalu, Alexander Nagel, D. H. Phong, Malabika Pramanik, Andrew Raich, Fulvio Ricci, Keith Rogers, Andreas Seeger, Scott Sheffield, Luis Silvestre, Christopher Sogge, Jacob Sturm, Terence Tao, Christoph Thiele, Stephen Wainger, and Steven Zelditch"
Intégrales singulières et fonctions différentiables de plusieurs variables by
Elias M Stein(
Book
)
15 editions published between 1966 and 1969 in 3 languages and held by 53 WorldCat member libraries worldwide
15 editions published between 1966 and 1969 in 3 languages and held by 53 WorldCat member libraries worldwide
Introduction to Fourier Analysis on Euclidean Spaces (PMS32) by
Elias M Stein(
Book
)
2 editions published in 2016 in English and held by 1 WorldCat member library worldwide
2 editions published in 2016 in English and held by 1 WorldCat member library worldwide
Estimates of the neumann problem. (mn19) : by
P. C Greiner(
Book
)
2 editions published between 1977 and 2015 in English and held by 1 WorldCat member library worldwide
The ?? Neumann problem is probably the most important and natural example of a nonelliptic boundary value problem, arising as it does from the CauchyRiemann equations. It has been known for some time how to prove solvability and regularity by the use of L2 methods. In this monograph the authors apply recent methods involving the Heisenberg group to obtain parametricies and to give sharp estimates in various function spaces, leading to a better understanding of the ?? Neumann problem. The authors have added substantial background material to make the monograph more accessible to students.Originally published in 1977.The Princeton Legacy Library uses the latest printondemand technology to again make available previously outofprint books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905
2 editions published between 1977 and 2015 in English and held by 1 WorldCat member library worldwide
The ?? Neumann problem is probably the most important and natural example of a nonelliptic boundary value problem, arising as it does from the CauchyRiemann equations. It has been known for some time how to prove solvability and regularity by the use of L2 methods. In this monograph the authors apply recent methods involving the Heisenberg group to obtain parametricies and to give sharp estimates in various function spaces, leading to a better understanding of the ?? Neumann problem. The authors have added substantial background material to make the monograph more accessible to students.Originally published in 1977.The Princeton Legacy Library uses the latest printondemand technology to again make available previously outofprint books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905
Topics in harmonic analysis related to the littlewoodpaley theory. (am63) by
Elias M Stein(
)
1 edition published in 2016 in English and held by 0 WorldCat member libraries worldwide
This work deals with an extension of the classical LittlewoodPaley theory in the context of symmetric diffusion semigroups. In this general setting there are applications to a variety of problems, such as those arising in the study of the expansions coming from second order elliptic operators. A review of background material in Lie groups and martingale theory is included to make the monograph more accessible to the student
1 edition published in 2016 in English and held by 0 WorldCat member libraries worldwide
This work deals with an extension of the classical LittlewoodPaley theory in the context of symmetric diffusion semigroups. In this general setting there are applications to a variety of problems, such as those arising in the study of the expansions coming from second order elliptic operators. A review of background material in Lie groups and martingale theory is included to make the monograph more accessible to the student
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Related Identities
 Shakarchi, Rami
 Fefferman, Charles 1949 Opponent Editor
 Wainger, Stephen 1936 Editor
 Weiss, Guido 1928
 Ionescu, Alexandru Dan 1973 Editor
 Phong, Duong H. 1953 Editor
 Murphy, Timothy S.
 Nagel, Alexander 1945 Author
 Greiner, P. C. (Peter Charles) 1938 Author
 Princeton University
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Associated Subjects
Adler, Max Analytic continuation AustriaVienna Differential equations, Partial Families Fourier analysis Fourier series Fourier transformations Functional analysis Functions of complex variables Functions of real variables Functions of several real variables Hardy spaces Harmonic analysis Harmonic functions Hilbert space Hilbert transform Holocaust, Jewish (19391945) Holomorphic functions Integral operators Integrals Integrals, Generalized Jewish women Jews JewsMigrations Lie groups LittlewoodPaley theory Mathematical analysis Mathematics Measure theory Neumann problem Operator theory Pseudodifferential operators Representations of groups Semigroups Singular integrals Stein, Elias M., Stein, Joseph Topological algebras Vector fields
Alternative Names
Elias M. Stein Amerikaans wiskundige
Elias M. Stein amerikansk matematikar
Elias M. Stein amerikansk matematiker
Elias M. Stein matemático estadounidense
Elias M. Stein matematico statunitense
Elias Menachem Stein mathématicien américain
Elias Stein
Elias Stein USamerikanischer Mathematiker
Stein, E.
Stein, E. 1931
Stein, E. M.
Stein, E. M. 1931
Stein, E. M. (Elias M.)
Stein, E. M. (Elias M.), 1931
Stein, Eli 1931
Stein, Elias 1931
Stein, Elias M.
Stein, Elias Menachem 1931
Steĭn, Ilaĭes M. 1931
Stejn, I.
Stejn, I. 1931
Stejn, I. M. 1931
Stejn, Ilajes 1931
Stejn, Ilajes M.
Stejn, Ilajes M. 1931
Stejn, Ilijas M. 1931
Стейн, И.
Стейн, Илайес М.
Элиас Штайн американский математик
الیاس ام اشتاین ریاضیدان آمریکایی
エリアス・ステイン
スタイン, エリアス・M
埃利亞斯·施泰因
艾利亞斯·斯坦
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