Hörmander, Lars
Overview
Works:  189 works in 896 publications in 7 languages and 9,557 library holdings 

Genres:  Conference papers and proceedings Festschriften 
Roles:  Author, Editor, Creator 
Classifications:  QA377, 515.7242 
Publication Timeline
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Most widely held works about
Lars Hörmander
 Unpublished manuscripts : from 1951 to 2007 by Lars Hörmander( )
Most widely held works by
Lars Hörmander
An introduction to complex analysis in several variables by
Lars Hörmander(
Book
)
104 editions published between 1966 and 2007 in 5 languages and held by 1,712 WorldCat member libraries worldwide
An Introduction to Complex Analysis in Several Variables
104 editions published between 1966 and 2007 in 5 languages and held by 1,712 WorldCat member libraries worldwide
An Introduction to Complex Analysis in Several Variables
Linear partial differential operators by
Lars Hörmander(
Book
)
95 editions published between 1963 and 2013 in 5 languages and held by 1,288 WorldCat member libraries worldwide
The aim of this book is to give a systematic study of questions con cerning existence, uniqueness and regularity of solutions of linear partial differential equations and boundary problems. Let us note explicitly that this program does not contain such topics as eigenfunction expan sions, although we do give the main facts concerning differential operators which are required for their study. The restriction to linear equations also means that the trouble of achieving minimal assumptions concerning the smoothness of the coefficients of the differential equations studied would not be worth while; we usually assume that they are infinitely differenti able. Functional analysis and distribution theory form the framework for the theory developed here. However, only classical results of functional analysis are used. The terminology employed is that of BOURBAKI. To make the exposition selfcontained we present in Chapter I the elements of distribution theory that are required. With the possible exception of section 1.8, this introductory chapter should be bypassed by a reader who is already familiar with distribution theory
95 editions published between 1963 and 2013 in 5 languages and held by 1,288 WorldCat member libraries worldwide
The aim of this book is to give a systematic study of questions con cerning existence, uniqueness and regularity of solutions of linear partial differential equations and boundary problems. Let us note explicitly that this program does not contain such topics as eigenfunction expan sions, although we do give the main facts concerning differential operators which are required for their study. The restriction to linear equations also means that the trouble of achieving minimal assumptions concerning the smoothness of the coefficients of the differential equations studied would not be worth while; we usually assume that they are infinitely differenti able. Functional analysis and distribution theory form the framework for the theory developed here. However, only classical results of functional analysis are used. The terminology employed is that of BOURBAKI. To make the exposition selfcontained we present in Chapter I the elements of distribution theory that are required. With the possible exception of section 1.8, this introductory chapter should be bypassed by a reader who is already familiar with distribution theory
Notions of convexity by
Lars Hörmander(
)
34 editions published between 1994 and 2007 in 3 languages and held by 851 WorldCat member libraries worldwide
The first two chapters of this book are devoted to convexity in the classical sense, for functions of one and several real variables respectively. This gives a background for the study in the following chapters of related notions which occur in the theory of linear partial differential equations and complex analysis such as (pluri )subharmonic functions, pseudoconvex sets, and sets which are convex for supports or singular supports with respect to a differential operator. In addition, the convexity conditions which are relevant for local or global existence of holomorphic differential equation
34 editions published between 1994 and 2007 in 3 languages and held by 851 WorldCat member libraries worldwide
The first two chapters of this book are devoted to convexity in the classical sense, for functions of one and several real variables respectively. This gives a background for the study in the following chapters of related notions which occur in the theory of linear partial differential equations and complex analysis such as (pluri )subharmonic functions, pseudoconvex sets, and sets which are convex for supports or singular supports with respect to a differential operator. In addition, the convexity conditions which are relevant for local or global existence of holomorphic differential equation
The analysis of linear partial differential operators by
Lars Hörmander(
)
84 editions published between 1983 and 2009 in 3 languages and held by 781 WorldCat member libraries worldwide
From the reviews: ""Volumes III and IV complete L. Hormander's treatise on linear partial differential equations. They constitute the most complete and uptodate account of this subject, by the author who has dominated it and made the most significant contributions in the last decades ... It is a superb book, which must be present in every mathematical library, and an indispensable tool for all  young and old  interested in the theory of partial differential operators.""Leaf Boutet de Monvel in ""Bulletin of the American Mathematical Society"", 1987. ""This treatise is outstanding in every r
84 editions published between 1983 and 2009 in 3 languages and held by 781 WorldCat member libraries worldwide
From the reviews: ""Volumes III and IV complete L. Hormander's treatise on linear partial differential equations. They constitute the most complete and uptodate account of this subject, by the author who has dominated it and made the most significant contributions in the last decades ... It is a superb book, which must be present in every mathematical library, and an indispensable tool for all  young and old  interested in the theory of partial differential operators.""Leaf Boutet de Monvel in ""Bulletin of the American Mathematical Society"", 1987. ""This treatise is outstanding in every r
Seminar on singularities of solutions of linear partial differential equations by
Lars Hörmander(
Book
)
17 editions published between 1979 and 2016 in English and Undetermined and held by 643 WorldCat member libraries worldwide
Singularities of solutions of differential equations forms the common theme of these papers taken from a seminar held at the Institute for Advanced Study in Princeton in 19771978. While some of the lectures were devoted to the analysis of singularities, others focused on applications in spectral theory. As an introduction to the subject, this volume treats current research in the field in such a way that it can be studied with profit by the nonspecialist
17 editions published between 1979 and 2016 in English and Undetermined and held by 643 WorldCat member libraries worldwide
Singularities of solutions of differential equations forms the common theme of these papers taken from a seminar held at the Institute for Advanced Study in Princeton in 19771978. While some of the lectures were devoted to the analysis of singularities, others focused on applications in spectral theory. As an introduction to the subject, this volume treats current research in the field in such a way that it can be studied with profit by the nonspecialist
The analysis of linear partial differential operators by
Lars Hörmander(
)
59 editions published between 1983 and 2005 in English and German and held by 615 WorldCat member libraries worldwide
Vol. I of Lars Hörmander's 4volume treatisewas an exposition of the theory of distributions and Fourier analysis preparing for the study of linear partial differential operators. The present Vol. II is mainly devoted to operators with constant coefficients. An analysis of the existence and regularity of (fundamental) solutions in the first two chapters is followed by a thorough study of the Cauchy problem. One chapter is devoted to the spectral theory of short range perturbations of operatorswith constant coefficients, and another presents FourierLaplace representations of solutions of homogeneous differential equations with constant coefficients. The last chapter is a study of the closely related subject of convolution operators. TOC:Introduction. Existence and Approximation of Solutions of Differential Equations. Interior Regularity of Solutions of Differential Equations. The Cauchy and Mixed Problems. Differential Operators of Constant Strength. Scattering Theory. Analytic Function Theory and Differential Equations. Convolution Equations. Appendix A: Some Algebraic Lemmas. Bibliography. Index. Index of Notation
59 editions published between 1983 and 2005 in English and German and held by 615 WorldCat member libraries worldwide
Vol. I of Lars Hörmander's 4volume treatisewas an exposition of the theory of distributions and Fourier analysis preparing for the study of linear partial differential operators. The present Vol. II is mainly devoted to operators with constant coefficients. An analysis of the existence and regularity of (fundamental) solutions in the first two chapters is followed by a thorough study of the Cauchy problem. One chapter is devoted to the spectral theory of short range perturbations of operatorswith constant coefficients, and another presents FourierLaplace representations of solutions of homogeneous differential equations with constant coefficients. The last chapter is a study of the closely related subject of convolution operators. TOC:Introduction. Existence and Approximation of Solutions of Differential Equations. Interior Regularity of Solutions of Differential Equations. The Cauchy and Mixed Problems. Differential Operators of Constant Strength. Scattering Theory. Analytic Function Theory and Differential Equations. Convolution Equations. Appendix A: Some Algebraic Lemmas. Bibliography. Index. Index of Notation
The analysis of linear partial differential operators by
Lars Hörmander(
Book
)
14 editions published between 1983 and 1990 in English and Undetermined and held by 528 WorldCat member libraries worldwide
14 editions published between 1983 and 1990 in English and Undetermined and held by 528 WorldCat member libraries worldwide
The analysis of linear partial differential operators by
Lars Hörmander(
)
28 editions published between 1985 and 2010 in English and Polish and held by 344 WorldCat member libraries worldwide
From the reviews: "Volumes III and IV complete L. Hörmander's treatise on linear partial differential equations. They constitute the most complete and uptodate account of this subject, by the author who has dominated it and made the most significant contributions in the last decades ... It is a superb book, which must be present in every mathematical library, and an indispensable tool for all  young and old  interested in the theory of partial differential operators." L. Boutet de Monvel in Bulletin of the American Mathematical Society, 1987 "This treatise is outstanding in every respect and must be counted among the great books in mathematics. It is certainly no easy reading (...) but a careful study is extremely rewarding for its wealth of ideas and techniques and the beauty of presentation." J. Brüning in Zentralblatt MATH, 1987
28 editions published between 1985 and 2010 in English and Polish and held by 344 WorldCat member libraries worldwide
From the reviews: "Volumes III and IV complete L. Hörmander's treatise on linear partial differential equations. They constitute the most complete and uptodate account of this subject, by the author who has dominated it and made the most significant contributions in the last decades ... It is a superb book, which must be present in every mathematical library, and an indispensable tool for all  young and old  interested in the theory of partial differential operators." L. Boutet de Monvel in Bulletin of the American Mathematical Society, 1987 "This treatise is outstanding in every respect and must be counted among the great books in mathematics. It is certainly no easy reading (...) but a careful study is extremely rewarding for its wealth of ideas and techniques and the beauty of presentation." J. Brüning in Zentralblatt MATH, 1987
The analysis of linear partial differential operators by
Lars Hörmander(
Book
)
63 editions published between 1983 and 2016 in 4 languages and held by 341 WorldCat member libraries worldwide
The main change in this edition is the inclusion of exercises with answers and hints. This is meant to emphasize that this volume has been written as a general course in modern analysis on a graduate student level and not only as the beginning of a specialized course in partial differen tial equations. In particular, it could also serve as an introduction to harmonic analysis. Exercises are given primarily to the sections of gen eral interest; there are none to the last two chapters. Most of the exercises are just routine problems meant to give some familiarity with standard use of the tools introduced in the text. Others are extensions of the theory presented there. As a rule rather complete though brief solutions are then given in the answers and hints. To a large extent the exercises have been taken over from courses or examinations given by Anders Melin or myself at the University of Lund. I am grateful to Anders Melin for letting me use the problems originating from him and for numerous valuable comments on this collection. As in the revised printing of Volume II, a number of minor flaws have also been corrected in this edition. Many of these have been called to my attention by the Russian translators of the first edition, and I wish to thank them for our excellent collaboration
63 editions published between 1983 and 2016 in 4 languages and held by 341 WorldCat member libraries worldwide
The main change in this edition is the inclusion of exercises with answers and hints. This is meant to emphasize that this volume has been written as a general course in modern analysis on a graduate student level and not only as the beginning of a specialized course in partial differen tial equations. In particular, it could also serve as an introduction to harmonic analysis. Exercises are given primarily to the sections of gen eral interest; there are none to the last two chapters. Most of the exercises are just routine problems meant to give some familiarity with standard use of the tools introduced in the text. Others are extensions of the theory presented there. As a rule rather complete though brief solutions are then given in the answers and hints. To a large extent the exercises have been taken over from courses or examinations given by Anders Melin or myself at the University of Lund. I am grateful to Anders Melin for letting me use the problems originating from him and for numerous valuable comments on this collection. As in the revised printing of Volume II, a number of minor flaws have also been corrected in this edition. Many of these have been called to my attention by the Russian translators of the first edition, and I wish to thank them for our excellent collaboration
The analysis of linear partial differential operators by
Lars Hörmander(
Book
)
4 editions published in 1983 in English and German and held by 248 WorldCat member libraries worldwide
4 editions published in 1983 in English and German and held by 248 WorldCat member libraries worldwide
Lectures on nonlinear hyperbolic differential equations by
Lars Hörmander(
Book
)
10 editions published between 1997 and 2010 in English and held by 243 WorldCat member libraries worldwide
10 editions published between 1997 and 2010 in English and held by 243 WorldCat member libraries worldwide
Partial differential equations and mathematical physics : the DanishSwedish Analysis Seminar, 1995 by
Lars Hörmander(
Book
)
15 editions published between 1995 and 1996 in English and held by 242 WorldCat member libraries worldwide
On March 1719 and May 1921,1995, analysis seminars were organized jointly at the universities of Copenhagen and Lund, under the heading "DanishSwedish Analysis Seminar". The main topic was partial differen tial equations and related problems of mathematical physics. The lectures given are presented in this volume, some as short abstracts and some as quite complete expositions or survey papers. They span over a large vari ety of topics. The most frequently occurring theme is the use of microlocal analysis which is now important also in the study of nonlinear differential equations although it originated entirely within the linear theory. Perhaps it is less surprising that microlocal analysis has proved to be useful in the study of mathematical problems of classical quantum mechanics, for it re ceived a substantial input of ideas from that field. The scientific committee for the invitation of speakers consisted of Gerd Grubb in Copenhagen, Lars Hormander and Anders MeHn in Lund, and Jo hannes Sjostrand in Paris. Lars Hormander and Anders Melin have edited the proceedings. They were hosts of the seminar days in Lund while Gerd Grubb was the host in Copenhagen. Financial support was obtained from the mathematics departments in Copenhagen and Lund, CNRS in France, the Danish and Swedish Na tional Research Councils, Gustaf Sigurd Magnuson's foundation at the Royal Swedish Academy of Sciences, and the WennerGren foundation in Stockholm. We want to thank all these organisations for their support
15 editions published between 1995 and 1996 in English and held by 242 WorldCat member libraries worldwide
On March 1719 and May 1921,1995, analysis seminars were organized jointly at the universities of Copenhagen and Lund, under the heading "DanishSwedish Analysis Seminar". The main topic was partial differen tial equations and related problems of mathematical physics. The lectures given are presented in this volume, some as short abstracts and some as quite complete expositions or survey papers. They span over a large vari ety of topics. The most frequently occurring theme is the use of microlocal analysis which is now important also in the study of nonlinear differential equations although it originated entirely within the linear theory. Perhaps it is less surprising that microlocal analysis has proved to be useful in the study of mathematical problems of classical quantum mechanics, for it re ceived a substantial input of ideas from that field. The scientific committee for the invitation of speakers consisted of Gerd Grubb in Copenhagen, Lars Hormander and Anders MeHn in Lund, and Jo hannes Sjostrand in Paris. Lars Hormander and Anders Melin have edited the proceedings. They were hosts of the seminar days in Lund while Gerd Grubb was the host in Copenhagen. Financial support was obtained from the mathematics departments in Copenhagen and Lund, CNRS in France, the Danish and Swedish Na tional Research Councils, Gustaf Sigurd Magnuson's foundation at the Royal Swedish Academy of Sciences, and the WennerGren foundation in Stockholm. We want to thank all these organisations for their support
Mathematics past and present : Fourier integral operators : selected classical articles by
J. J Duistermaat(
Book
)
12 editions published in 1994 in English and Undetermined and held by 208 WorldCat member libraries worldwide
12 editions published in 1994 in English and Undetermined and held by 208 WorldCat member libraries worldwide
Collected papers by
Marcel Riesz(
Book
)
16 editions published between 1988 and 2013 in 4 languages and held by 206 WorldCat member libraries worldwide
Marcel Riesz (18861969) was the younger of the famed pair of mathematicians and brothers. Although Hungarian he spent most of his professional life in Sweden. He worked on summability theory, analytic functions, the moment problem, harmonic and functional analysis, potential theory and the wave equation. The depth of his research and the clarity of his writing place his work on the same level as that of his brother Frédéric Riesz. This edition of his Collected Papers contains most of Marcel Riesz's published papers with the exception of a few papers in Hungarian that were subsumed into later books. It also includes a translation by J. Horváth of Riesz's thesis on summable trigonometric series and summable power series. They are thus a valuable reference work for libraries and for researchers
16 editions published between 1988 and 2013 in 4 languages and held by 206 WorldCat member libraries worldwide
Marcel Riesz (18861969) was the younger of the famed pair of mathematicians and brothers. Although Hungarian he spent most of his professional life in Sweden. He worked on summability theory, analytic functions, the moment problem, harmonic and functional analysis, potential theory and the wave equation. The depth of his research and the clarity of his writing place his work on the same level as that of his brother Frédéric Riesz. This edition of his Collected Papers contains most of Marcel Riesz's published papers with the exception of a few papers in Hungarian that were subsumed into later books. It also includes a translation by J. Horváth of Riesz's thesis on summable trigonometric series and summable power series. They are thus a valuable reference work for libraries and for researchers
The Analysis of linear partial differential operators by
Lars Hörmander(
Book
)
30 editions published between 1985 and 2016 in English and German and held by 159 WorldCat member libraries worldwide
A treatise on linear partial differential equations. It is suitable for those interested in the theory of partial differential operators
30 editions published between 1985 and 2016 in English and German and held by 159 WorldCat member libraries worldwide
A treatise on linear partial differential equations. It is suitable for those interested in the theory of partial differential operators
On the existence and the regularity of solutions of linear pseudodifferential equations by
Lars Hörmander(
Book
)
5 editions published in 1971 in English and held by 104 WorldCat member libraries worldwide
5 editions published in 1971 in English and held by 104 WorldCat member libraries worldwide
Lectures on nonlinear hyperbolic differential equations by
Lars Hörmander(
Book
)
3 editions published in 1997 in English and held by 92 WorldCat member libraries worldwide
3 editions published in 1997 in English and held by 92 WorldCat member libraries worldwide
Lectures in modern analysis and applications by
Michael Francis Atiyah(
Book
)
6 editions published between 1969 and 2006 in English and held by 66 WorldCat member libraries worldwide
6 editions published between 1969 and 2006 in English and held by 66 WorldCat member libraries worldwide
Miscellanea mathematica by
Michael Francis Atiyah(
)
1 edition published in 1991 in English and held by 59 WorldCat member libraries worldwide
Mathematics has a certain mystique, for it is pure and ex act, yet demands remarkable creativity. This reputation is reinforced by its characteristic abstraction and its own in dividual language, which often disguise its origins in and connections with the physical world. Publishing mathematics, therefore, requires special effort and talent. Heinz Gotze, who has dedicated his life to scientific pu blishing, took up this challenge with his typical enthusi asm. This Festschrift celebrates his invaluable contribu tions to the mathematical community, many of whose leading members he counts among his personal friends. The articles, written by mathematicians from around the world and coming from diverse fields, portray the important role of mathematics in our culture. Here, the reflections of important mathematicians, often focused on the history of mathematics, are collected, in recognition of Heinz Gotze's lifelong support of mathematics
1 edition published in 1991 in English and held by 59 WorldCat member libraries worldwide
Mathematics has a certain mystique, for it is pure and ex act, yet demands remarkable creativity. This reputation is reinforced by its characteristic abstraction and its own in dividual language, which often disguise its origins in and connections with the physical world. Publishing mathematics, therefore, requires special effort and talent. Heinz Gotze, who has dedicated his life to scientific pu blishing, took up this challenge with his typical enthusi asm. This Festschrift celebrates his invaluable contribu tions to the mathematical community, many of whose leading members he counts among his personal friends. The articles, written by mathematicians from around the world and coming from diverse fields, portray the important role of mathematics in our culture. Here, the reflections of important mathematicians, often focused on the history of mathematics, are collected, in recognition of Heinz Gotze's lifelong support of mathematics
Fourier integral operators by
Lars Hörmander(
Book
)
2 editions published between 1971 and 1985 in English and held by 36 WorldCat member libraries worldwide
2 editions published between 1971 and 1985 in English and held by 36 WorldCat member libraries worldwide
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Related Identities
 Institute for Advanced Study (Princeton, N.J.)
 Brüning, Jochen Editor
 Duistermaat, J. J. (Johannes Jisse) 1942 Author
 Riesz, Marcel 1886 Author
 Gårding, Lars 1919 Editor
 Guillemin, Victor 1937 Editor
 Melin, Anders 1943 Editor
 Atiyah, Michael (1929....). Author
 Eells, James (19262007)
 Rickart, Charles E.
Useful Links
Associated Subjects
Analytic functions Boundary value problems Calculus Convex domains Differential equations Differential equations, Hyperbolic Differential equations, Linear Differential equations, LinearNumerical solutions Differential equations, Nonlinear Differential equations, Partial Differential equations, PartialNumerical solutions Differential equationsNumerical solutions Differential operators Discrete groups Fourier analysis Fourier integral operators Functional analysis Functional equations Functions of complex variables Functions of several complex variables Global analysis (Mathematics) History Linear operators Mathematical analysis Mathematical physics Mathematics Numerical analysis Operator theory Partial differential operators Potential theory (Mathematics) Pseudodifferential operators Riesz, Marcel, Topological groups
Covers
Alternative Names
Chermander, L. 1931
Chërmander, Lars 19312012
Hërmander, L.
Hërmander, Lars.
Hörmander, L.
Hörmander, L. (Lars)
Hörmander, Lars V.
Hörmander, Lars Valter.
Hörmander, Lars Valter 19312012
Khërmander, L.
Khermander, Lars
Lars Hörmander matematico svedese
Lars Hörmander mathematician
Lars Hörmander schwedischer Mathematiker
Lars Hörmander svensk matematikar
Lars Hörmander svensk matematiker
Lars Hörmander Zweeds wiskundige
Lars Valter Hörmander
Ларс Германдер
Ларс Хёрмандэр
Хëрмандер, Л.
Хëрмандер, Ларс
Хёрмандер, Л.
Хёрмандер, Ларс
Хёрмандер, Ларс (19312010).
לארס הרמנדר
لارز ہورمانڈر
لارس هرماندر ریاضیدان سوئدی
لارس هورماندر
လားစ် ဟောမန်ဒါ
라르스 회르만데르
ヘルマンダー
ラース・ヘルマンダー
拉尔斯·霍尔曼德尔
Languages