Hörmander, Lars
Overview
Works:  199 works in 901 publications in 7 languages and 9,568 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 Unpublished manuscripts : from 1951 to 2007 by Lars Hörmander( )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
)
105 editions published between 1966 and 2007 in 5 languages and held by 1,706 WorldCat member libraries worldwide
An Introduction to Complex Analysis in Several Variables
105 editions published between 1966 and 2007 in 5 languages and held by 1,706 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 1,278 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 1,278 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(
)
35 editions published between 1994 and 2007 in 3 languages and held by 852 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 equations are discussed, leading up to Trpreaus theorem on sufficiency of condition (capital Greek letter Psi) for microlocal solvability in the analytic category. At the beginning of the book, no prerequisites are assumed beyond calculus and linear algebra. Later on, basic facts from distribution theory and functional analysis are needed. In a few places, a more extensive background in differential geometry or pseudodifferential calculus is required, but these sections can be bypassed with no loss of continuity. The major part of the book should therefore be accessible to graduate students so that it can serve as an introduction to complex analysis in one and several variables. The last sections, however, are written mainly for readers familiar with microlocal analysis
35 editions published between 1994 and 2007 in 3 languages and held by 852 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 equations are discussed, leading up to Trpreaus theorem on sufficiency of condition (capital Greek letter Psi) for microlocal solvability in the analytic category. At the beginning of the book, no prerequisites are assumed beyond calculus and linear algebra. Later on, basic facts from distribution theory and functional analysis are needed. In a few places, a more extensive background in differential geometry or pseudodifferential calculus is required, but these sections can be bypassed with no loss of continuity. The major part of the book should therefore be accessible to graduate students so that it can serve as an introduction to complex analysis in one and several variables. The last sections, however, are written mainly for readers familiar with microlocal analysis
The analysis of linear partial differential operators by
Lars Hörmander(
)
80 editions published between 1983 and 2009 in 3 languages and held by 748 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
80 editions published between 1983 and 2009 in 3 languages and held by 748 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 635 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 635 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(
)
55 editions published between 1985 and 2016 in 3 languages and held by 599 WorldCat member libraries worldwide
A treatise on linear partial differential equations. It is suitable for those interested in the theory of partial differential operators
55 editions published between 1985 and 2016 in 3 languages and held by 599 WorldCat member libraries worldwide
A treatise on linear partial differential equations. It is suitable for those interested in the theory of partial differential operators
The analysis of linear partial differential operators by
Lars Hörmander(
)
57 editions published between 1983 and 2005 in English and German and held by 595 WorldCat member libraries worldwide
This volume is an expanded version of Chapters III, IV, V and VII of my 1963 book "Linear partial differential operators". In addition there is an entirely new chapter on convolution equations, one on scattering theory, and one on methods from the theory of analytic functions of several complex variables. The latter is somewhat limited in scope though since it seems superfluous to duplicate the monographs by Ehrenpreis and by Palamodov on this subject. The reader is assumed to be familiar with distribution theory as presented in Volume I. Most topics discussed here have in fact been encountered in Volume I in special cases, which should provide the necessary motivation and background for a more systematic and precise exposition. The main technical tool in this volume is the Fourier Laplace transformation. More powerful methods for the study of operators with variable coefficients will be developed in Volume III. However, constant coefficient theory has given the guidance for all that work. Although the field is no longer very active  perhaps because of its advanced state of development  and although it is possible to pass directly from Volume I to Volume III, the material presented here should not be neglected by the serious student who wants to gain a balanced perspective of the theory of linear partial differential equations
57 editions published between 1983 and 2005 in English and German and held by 595 WorldCat member libraries worldwide
This volume is an expanded version of Chapters III, IV, V and VII of my 1963 book "Linear partial differential operators". In addition there is an entirely new chapter on convolution equations, one on scattering theory, and one on methods from the theory of analytic functions of several complex variables. The latter is somewhat limited in scope though since it seems superfluous to duplicate the monographs by Ehrenpreis and by Palamodov on this subject. The reader is assumed to be familiar with distribution theory as presented in Volume I. Most topics discussed here have in fact been encountered in Volume I in special cases, which should provide the necessary motivation and background for a more systematic and precise exposition. The main technical tool in this volume is the Fourier Laplace transformation. More powerful methods for the study of operators with variable coefficients will be developed in Volume III. However, constant coefficient theory has given the guidance for all that work. Although the field is no longer very active  perhaps because of its advanced state of development  and although it is possible to pass directly from Volume I to Volume III, the material presented here should not be neglected by the serious student who wants to gain a balanced perspective of the theory of linear partial differential equations
The analysis of linear partial differential operators by
Lars Hörmander(
Book
)
15 editions published between 1983 and 1990 in English and Undetermined and held by 527 WorldCat member libraries worldwide
15 editions published between 1983 and 1990 in English and Undetermined and held by 527 WorldCat member libraries worldwide
Lectures on nonlinear hyperbolic differential equations by
Lars Hörmander(
Book
)
13 editions published between 1997 and 2010 in English and held by 334 WorldCat member libraries worldwide
13 editions published between 1997 and 2010 in English and held by 334 WorldCat member libraries worldwide
The analysis of linear partial differential operators by
Lars Hörmander(
Book
)
63 editions published between 1983 and 2016 in 4 languages and held by 327 WorldCat member libraries worldwide
In 1963 my book entitled "Linear partial differential operators" was published in the Grundlehren series. Some parts of it have aged well but others have been made obsolete for quite some time by techniques using pseudodifferential and Fourier integral operators. The rapid development has made it difficult to bring the book up to date. However, the new methods seem to have matured enough now to make an attempt worth while. The progress in the theory of linear partial differential equations during the past 30 years owes much to the theory of distributions created by Laurent Schwartz at the end of the 1940's. It summed up a great deal of the experience accumulated in the study of partial differential equations up to that time, and it has provided an ideal frame work for later developments. "Linear partial differential operators" began with a brief summary of distribution theory for this was still unfamiliar to many analysts 20 years ago. The presentation then proceeded directly to the most general results available on partial differential operators. Thus the reader was expected to have some prior familiarity with the classical theory although it was not appealed to explicitly. Today it may no longer be necessary to include basic distribution theory but it does not seem reasonable to assume a classical background in the theory of partial differential equations since modern treatments are rare
63 editions published between 1983 and 2016 in 4 languages and held by 327 WorldCat member libraries worldwide
In 1963 my book entitled "Linear partial differential operators" was published in the Grundlehren series. Some parts of it have aged well but others have been made obsolete for quite some time by techniques using pseudodifferential and Fourier integral operators. The rapid development has made it difficult to bring the book up to date. However, the new methods seem to have matured enough now to make an attempt worth while. The progress in the theory of linear partial differential equations during the past 30 years owes much to the theory of distributions created by Laurent Schwartz at the end of the 1940's. It summed up a great deal of the experience accumulated in the study of partial differential equations up to that time, and it has provided an ideal frame work for later developments. "Linear partial differential operators" began with a brief summary of distribution theory for this was still unfamiliar to many analysts 20 years ago. The presentation then proceeded directly to the most general results available on partial differential operators. Thus the reader was expected to have some prior familiarity with the classical theory although it was not appealed to explicitly. Today it may no longer be necessary to include basic distribution theory but it does not seem reasonable to assume a classical background in the theory of partial differential equations since modern treatments are rare
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
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 205 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 205 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
Partial differential equations and mathematical physics : the DanishSwedish Analysis Seminar, 1995 by
H Brézis(
Book
)
13 editions published between 1995 and 1996 in English and held by 187 WorldCat member libraries worldwide
13 editions published between 1995 and 1996 in English and held by 187 WorldCat member libraries worldwide
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 in modern analysis and applications by
Michael Francis Atiyah(
Book
)
5 editions published between 1969 and 2006 in English and held by 62 WorldCat member libraries worldwide
5 editions published between 1969 and 2006 in English and held by 62 WorldCat member libraries worldwide
Miscellanea mathematica by
Michael Francis Atiyah(
)
1 edition published in 1991 in English and held by 57 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 57 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
Partial Differential Equations and Mathematical Physics : the DanishSwedish Analysis Seminar, 1995 by
Lars Hörmander(
)
1 edition published in 1996 in English and held by 51 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
1 edition published in 1996 in English and held by 51 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
Distribution theory and Fourier analysis by
Lars Hörmander(
Book
)
1 edition published in 1983 in English and held by 33 WorldCat member libraries worldwide
1 edition published in 1983 in English and held by 33 WorldCat member libraries worldwide
Lectures in Modern Analysis and Applications I by
Stephen Smale(
)
2 editions published in 1969 in English and held by 30 WorldCat member libraries worldwide
2 editions published in 1969 in English and held by 30 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
 Hirzebruch, Friedrich Author
 Trèves, François (1930....). Author
 Wermer, John (1927....).
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