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Stein, Elias M. 1931-2018

Overview
Works: 130 works in 512 publications in 6 languages and 12,040 library holdings
Genres: Conference proceedings 
Roles: Author, Honoree, Editor, Opponent, Contributor, Dedicatee
Classifications: QA403, 515.2433
Publication Timeline
Key
Publications about Elias M Stein
Publications by Elias M Stein
Publications by Elias M Stein, published posthumously.
Most widely held works about Elias M Stein
 
Most widely held works by Elias M Stein
Introduction to Fourier analysis on Euclidean spaces by Elias M Stein( file )
27 editions published between 1971 and 2016 in English and held by 1,402 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
Boundary behavior of holomorphic functions of several complex variables by Elias M Stein( file )
19 editions published between 1971 and 2015 in English and held by 1,068 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 potential-theoretic 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 print-on-demand technology to again make available previously out-of-print 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
Singular integrals and differentiability properties of functions by Elias M Stein( Book )
41 editions published between 1970 and 2011 in 3 languages and held by 966 libraries worldwide
Advances in analysis : the legacy of Elias M. Stein by Stephen Wainger( file )
12 editions published between 2013 and 2017 in English and held by 869 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 Kunze-Stein 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"--
Harmonic analysis : real-variable methods, orthogonality, and oscillatory integrals by Elias M Stein( Book )
14 editions published between 1992 and 2016 in English and held by 694 libraries worldwide
Publisher description: This book contains an exposition of some of the main developments of the last twenty years in the following areas of harmonic analysis: singular integral and pseudo-differential operators, the theory of Hardy spaces, L\sup\ estimates involving oscillatory integrals and Fourier integral operators, relations of curvature to maximal inequalities, and connections with analysis on the Heisenberg group
Real analysis : measure theory, integration, and Hilbert spaces by Elias M Stein( Book )
22 editions published between 2004 and 2017 in English and Japanese and held by 690 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
Lectures on pseudo-differential operators : regularity theorems and applications to non-elliptic problems by Alexander Nagel( Book )
19 editions published between 1979 and 2015 in 3 languages and held by 676 libraries worldwide
The theory of pseudo-differential 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 pseudo-differential operators relevant to several complex variables and certain non-elliptic problems. Originally published in 1979. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print 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 599 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, real-variable 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
Fourier analysis : an introduction by Elias M Stein( Book )
20 editions published between 2003 and 2013 in English and Japanese and held by 580 libraries worldwide
This first volume, a three-part introduction to the subject, is intended for students with a beginning knowledge of mathematical analysis who are motivated to discover the ideas that shape Fourier analysis. It begins with the simple conviction that Fourier arrived at in the early nineteenth century when studying problems in the physical sciences--that an arbitrary function can be written as an infinite sum of the most basic trigonometric functions
Topics in harmonic analysis, related to the Littlewood-Paley theory by Elias M Stein( Book )
21 editions published between 1970 and 1985 in English and Undetermined and held by 568 libraries worldwide
Functional analysis : introduction to further topics in analysis by Elias M Stein( Book )
14 editions published between 2011 and 2013 in English and held by 525 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"--
Complex analysis by Elias M Stein( Book )
20 editions published between 2003 and 2013 in English and held by 506 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
Hardy spaces on homogeneous groups by G. B Folland( Book )
13 editions published in 1982 in English and held by 343 libraries worldwide
Analytic continuation of group representations by Elias M Stein( Book )
14 editions published in 1971 in English and Italian and held by 336 libraries worldwide
Estimates for the [D-bar]-Neumann problem by P. C Greiner( Book )
11 editions published in 1977 in English and held by 323 libraries worldwide
Essays on Fourier analysis in honor of Elias M. Stein by Princeton Conference in Harmonic Analysis( Book )
12 editions published between 1995 and 2014 in English and held by 322 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 non-smooth 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
Estimates for the neumann problem by P. C Greiner( file )
2 editions published in 1977 in English and held by 259 libraries worldwide
Topics in harmonic analysis related to the littlewood-paley theory. (am-63) by Elias M Stein( file )
2 editions published in 2016 in English and held by 206 libraries worldwide
This work deals with an extension of the classical Littlewood-Paley 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
Algebras of singular integral operators with kernels controlled by multiple norms by Alexander Nagel( file )
7 editions published between 2018 and 2019 in English and held by 96 libraries worldwide
The authors study algebras of singular integral operators on \mathbb R^n and nilpotent Lie groups that arise when considering the composition of Calderón-Zygmund operators with different homogeneities, such as operators occuring in sub-elliptic problems and those arising in elliptic problems. These algebras are characterized in a number of different but equivalent ways: in terms of kernel estimates and cancellation conditions, in terms of estimates of the symbol, and in terms of decompositions into dyadic sums of dilates of bump functions. The resulting operators are pseudo-local and bounded o
Harmonic analysis: real-variable methods, orthogonality, and oscillatory integrals by Elias M Stein( Book )
4 editions published between 1993 and 1995 in English and held by 50 libraries worldwide
 
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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 matemàtic estatunidenc
Elias Menachem Stein mathématicien américain
Elias Stein
Elias Stein matematico statunitense
Elias Stein US-amerikanischer Mathematiker
Stein, E.
Stein, E. 1931-
Stein, E. 1931-2018
Stein, E. M.
Stein, E. M. 1931-
Stein, E. M. 1931-2018
Stein, E. M. (Elias M.)
Stein, E. M. (Elias M.), 1931-
Stein, E. M. (Elias M.), 1931-2018
Stein, Eli 1931-2018
Stein, Elias 1931-
Stein, Elias 1931-2018
Stein, Elias M.
Stein, Elias M., 1931-
Stein, Elias Menachem.
Stein, Elias Menachem 1931-
Steĭn, Ilaĭes M. 1931-
Steĭn, Ilaĭes M., 1931-2018
Stejn, I.
Stejn, I. 1931-
Stejn, I. 1931-2018
Stejn, I. M. 1931-
Stejn, I. M. 1931-2018
Stejn, Ilajes 1931-
Stejn, Ilajes 1931-2018
Stejn, Ilajes M.
Stejn, Ilajes M. 1931-
Stejn, Ilajes M. 1931-2018
Stejn, Ilijas M. 1931-
Стейн, И.
Стейн, Илайес М.
Стейн, Илайес М., 1931-2018
Элиас Стейн американский математик
Элиас Штайн американский математик
الياس شتاين رياضياتي أمريكي
الیاس ام اشتاین ریاضی‌دان آمریکایی
エリアス・ステイン
スタイン, エリアス・M
埃利亚斯·施泰因
艾利亞斯·斯坦
Languages
English (305)
Russian (6)
Japanese (4)
Italian (2)
Chinese (1)
Portuguese (1)
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