Helgason, Sigurdur 1927
Overview
Works:  73 works in 376 publications in 3 languages and 6,134 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Honoree, Editor, Other, Translator, Contributor 
Classifications:  QA3, 516.36 
Publication Timeline
.
Most widely held works by
Sigurdur Helgason
Groups and geometric analysis : integral geometry, invariant differential operators, and spherical functions by
Sigurdur Helgason(
Book
)
38 editions published between 1984 and 2003 in English and held by 839 WorldCat member libraries worldwide
This volume, the second of Helgasonand#39;s three books on Lie groups and the geometry and analysis of symmetric spaces, is an introduction to grouptheoretic methods in analysis on spaces with a group action
38 editions published between 1984 and 2003 in English and held by 839 WorldCat member libraries worldwide
This volume, the second of Helgasonand#39;s three books on Lie groups and the geometry and analysis of symmetric spaces, is an introduction to grouptheoretic methods in analysis on spaces with a group action
Differential geometry and symmetric spaces by
Sigurdur Helgason(
Book
)
52 editions published between 1962 and 2001 in 3 languages and held by 833 WorldCat member libraries worldwide
Although much has happened in the field since the publication of this book, this single volume on Riemannian geometry and for the analysis and geometry of symmetric spaces still offers a clear overview of the subjects
52 editions published between 1962 and 2001 in 3 languages and held by 833 WorldCat member libraries worldwide
Although much has happened in the field since the publication of this book, this single volume on Riemannian geometry and for the analysis and geometry of symmetric spaces still offers a clear overview of the subjects
The Radon transform by
Sigurdur Helgason(
Book
)
44 editions published between 1980 and 2014 in 3 languages and held by 740 WorldCat member libraries worldwide
This second edition, significantly expanded and updated, presents new material taking into account some of the progress made in the field since 1980"Jacket
44 editions published between 1980 and 2014 in 3 languages and held by 740 WorldCat member libraries worldwide
This second edition, significantly expanded and updated, presents new material taking into account some of the progress made in the field since 1980"Jacket
Differential geometry, Lie groups, and symmetric spaces by
Sigurdur Helgason(
Book
)
19 editions published in 1978 in English and held by 620 WorldCat member libraries worldwide
The present book is intended as a textbook and reference work on three topics in the title. Together with a volume in progress on "Groups and Geometric Analysis" it supersedes my "Differential Geometry and Symmetric Spaces," published in 1962. Since that time several branches of the subject, particularly the function theory on symmetric spaces, have developed substantially. I felt that an expanded treatment might now be useful
19 editions published in 1978 in English and held by 620 WorldCat member libraries worldwide
The present book is intended as a textbook and reference work on three topics in the title. Together with a volume in progress on "Groups and Geometric Analysis" it supersedes my "Differential Geometry and Symmetric Spaces," published in 1962. Since that time several branches of the subject, particularly the function theory on symmetric spaces, have developed substantially. I felt that an expanded treatment might now be useful
Geometric analysis on symmetric spaces by
Sigurdur Helgason(
Book
)
31 editions published between 1994 and 2014 in English and Undetermined and held by 602 WorldCat member libraries worldwide
"This book gives the first systematic exposition of geometric analysis on Riemannian symmetric spaces and its relationship to the representation theory of Lie groups. The book starts with modern integral geometry for double fibrations and treats several examples in detail. After discussing the theory of Radon transforms and Fourier transforms on symmetric spaces, inversion formulas, and range theorems, Helgason examines applications to invariant differential equations on symmetric spaces, existence theorems, and explicit solution formulas, particularly potential theory and wave equations. The canonical multitemporal wave equation on a symmetric space is included. The book concludes with a chapter on eigenspace representations  that is, representations on solution spaces of invariant differential equations."Jacket
31 editions published between 1994 and 2014 in English and Undetermined and held by 602 WorldCat member libraries worldwide
"This book gives the first systematic exposition of geometric analysis on Riemannian symmetric spaces and its relationship to the representation theory of Lie groups. The book starts with modern integral geometry for double fibrations and treats several examples in detail. After discussing the theory of Radon transforms and Fourier transforms on symmetric spaces, inversion formulas, and range theorems, Helgason examines applications to invariant differential equations on symmetric spaces, existence theorems, and explicit solution formulas, particularly potential theory and wave equations. The canonical multitemporal wave equation on a symmetric space is included. The book concludes with a chapter on eigenspace representations  that is, representations on solution spaces of invariant differential equations."Jacket
Topics in harmonic analysis on homogeneous spaces by
Sigurdur Helgason(
Book
)
14 editions published in 1981 in English and Undetermined and held by 368 WorldCat member libraries worldwide
14 editions published in 1981 in English and Undetermined and held by 368 WorldCat member libraries worldwide
Analysis on Lie groups and homogeneous spaces by
Sigurdur Helgason(
Book
)
30 editions published between 1971 and 2001 in English and Undetermined and held by 352 WorldCat member libraries worldwide
The theme of this volume is a treatment of differential equations on a C^\infty manifold V by separation of variables techniques. More specifically, given a Lie transformation group L of V and a Lie subgroup H\subset L, if D(V) is the set of differential operators on V invariant under L, then the principal object of study is the set of distributions T on V satisfying the following two conditions:(i) T is an eigendistribution of each D\in D(V); (ii) T is invariant under H
30 editions published between 1971 and 2001 in English and Undetermined and held by 352 WorldCat member libraries worldwide
The theme of this volume is a treatment of differential equations on a C^\infty manifold V by separation of variables techniques. More specifically, given a Lie transformation group L of V and a Lie subgroup H\subset L, if D(V) is the set of differential operators on V invariant under L, then the principal object of study is the set of distributions T on V satisfying the following two conditions:(i) T is an eigendistribution of each D\in D(V); (ii) T is invariant under H
Differential geometry, Lie groups, and symmetric spaces by
Sigurdur Helgason(
Book
)
10 editions published in 2001 in English and held by 213 WorldCat member libraries worldwide
10 editions published in 2001 in English and held by 213 WorldCat member libraries worldwide
Integral geometry and Radon transforms by
Sigurdur Helgason(
Book
)
19 editions published between 2010 and 2014 in English and held by 106 WorldCat member libraries worldwide
"In this text, integral geometry deals with Radon's problem of representing a function on a manifold in terms of its integrals over certain submanifolds hence the term the Radon transform ... While containing some recent research, the book is aimed at beginning graduate students for classroom use or selfstudy. A number of exercises point to further results with documentation."Back cover
19 editions published between 2010 and 2014 in English and held by 106 WorldCat member libraries worldwide
"In this text, integral geometry deals with Radon's problem of representing a function on a manifold in terms of its integrals over certain submanifolds hence the term the Radon transform ... While containing some recent research, the book is aimed at beginning graduate students for classroom use or selfstudy. A number of exercises point to further results with documentation."Back cover
Improving evaluation practices : best practice guidelines for evaluation and background paper by
Sigurdur Helgason(
Book
)
4 editions published in 1999 in English and held by 99 WorldCat member libraries worldwide
4 editions published in 1999 in English and held by 99 WorldCat member libraries worldwide
The selected works of Sigurður Helgason by
Sigurdur Helgason(
Book
)
8 editions published in 2009 in English and held by 91 WorldCat member libraries worldwide
8 editions published in 2009 in English and held by 91 WorldCat member libraries worldwide
Integral geometry, radon transforms, and complex analysis : lectures given at the 1st session of the Centro internazionale
matematico estivo (C.I.M.E.) held in Venezia, Italy, June 312, 1996 by
Carlos A Berenstein(
)
5 editions published in 1998 in English and held by 41 WorldCat member libraries worldwide
This book contains the notes of five short courses delivered at the "Centro Internazionale Matematico Estivo" session "Integral Geometry, Radon Transforms and Complex Analysis" held in Venice (Italy) in June 1996: three of them deal with various aspects of integral geometry, with a common emphasis on several kinds of Radon transforms, their properties and applications, the other two share a stress on CR manifolds and related problems. All lectures are accessible to a wide audience, and provide selfcontained introductions and short surveys on the subjects, as well as detailed expositions of selected results
5 editions published in 1998 in English and held by 41 WorldCat member libraries worldwide
This book contains the notes of five short courses delivered at the "Centro Internazionale Matematico Estivo" session "Integral Geometry, Radon Transforms and Complex Analysis" held in Venice (Italy) in June 1996: three of them deal with various aspects of integral geometry, with a common emphasis on several kinds of Radon transforms, their properties and applications, the other two share a stress on CR manifolds and related problems. All lectures are accessible to a wide audience, and provide selfcontained introductions and short surveys on the subjects, as well as detailed expositions of selected results
Global differential geometry and global analysis : proceedings of the colloquium held at the Technical University of Berlin,
November 2124, 1979 by
D Ferus(
)
6 editions published in 1985 in English and Undetermined and held by 39 WorldCat member libraries worldwide
All papers appearing in this volume are original research articles and have not been published elsewhere. They meet the requirements that are necessary for publication in a good quality primary journal. E. Belchev, S. Hineva: On the minimal hypersurfaces of a locally symmetric manifold. N. Blasic, N. Bokan, P. Gilkey: The spectral geometry of the Laplacian and the conformal Laplacian for manifolds with boundary. J. Bolton, W.M. Oxbury, L. Vrancken, L.M. Woodward: Minimal immersions of RP2 into CPn. W. Cieslak, A. Miernowski, W. Mozgawa: Isoptics of a strictly convex curve. F. Dillen, L. Vrancken: Generalized Cayley surfaces. A. Ferrandez, O.J. Garay, P. Lucas: On a certain class of conformally flat Euclidean hypersurfaces. P. Gauduchon: Selfdual manifolds with nonnegative Ricci operator. B. Hajduk: On the obstruction group toexistence of Riemannian metrics of positive scalar curvature. U. Hammenstaedt: Compact manifolds with 1/4pinched negative curvature. J. Jost, Xiaowei Peng: The geometry of moduli spaces of stable vector bundles over Riemannian surfaces.  O. Kowalski, F. Tricerri: A canonical connection for locally homogeneous Riemannian manifolds. M. Kozlowski: Some improper affine spheres in A3. R. Kusner: A maximum principle at infinity and the topology of complete embedded surfaces with constant mean curvature. Anmin Li: Affine completeness and Euclidean completeness. U. Lumiste: On submanifolds with parallel higher order fundamental form in Euclidean spaces. A. Martinez, F. Milan: Convex affine surfaces with constant affine mean curvature. M. MinOo, E.A. Ruh, P. Tondeur: Transversal curvature and tautness for Riemannian foliations. S. Montiel, A. Ros: Schroedinger operators associated to a holomorphic map. D. Motreanu: Generic existence of Morse functions on infinite dimensional Riemannian manifolds and applications. B. Opozda: Some extensions of Radon's theorem
6 editions published in 1985 in English and Undetermined and held by 39 WorldCat member libraries worldwide
All papers appearing in this volume are original research articles and have not been published elsewhere. They meet the requirements that are necessary for publication in a good quality primary journal. E. Belchev, S. Hineva: On the minimal hypersurfaces of a locally symmetric manifold. N. Blasic, N. Bokan, P. Gilkey: The spectral geometry of the Laplacian and the conformal Laplacian for manifolds with boundary. J. Bolton, W.M. Oxbury, L. Vrancken, L.M. Woodward: Minimal immersions of RP2 into CPn. W. Cieslak, A. Miernowski, W. Mozgawa: Isoptics of a strictly convex curve. F. Dillen, L. Vrancken: Generalized Cayley surfaces. A. Ferrandez, O.J. Garay, P. Lucas: On a certain class of conformally flat Euclidean hypersurfaces. P. Gauduchon: Selfdual manifolds with nonnegative Ricci operator. B. Hajduk: On the obstruction group toexistence of Riemannian metrics of positive scalar curvature. U. Hammenstaedt: Compact manifolds with 1/4pinched negative curvature. J. Jost, Xiaowei Peng: The geometry of moduli spaces of stable vector bundles over Riemannian surfaces.  O. Kowalski, F. Tricerri: A canonical connection for locally homogeneous Riemannian manifolds. M. Kozlowski: Some improper affine spheres in A3. R. Kusner: A maximum principle at infinity and the topology of complete embedded surfaces with constant mean curvature. Anmin Li: Affine completeness and Euclidean completeness. U. Lumiste: On submanifolds with parallel higher order fundamental form in Euclidean spaces. A. Martinez, F. Milan: Convex affine surfaces with constant affine mean curvature. M. MinOo, E.A. Ruh, P. Tondeur: Transversal curvature and tautness for Riemannian foliations. S. Montiel, A. Ros: Schroedinger operators associated to a holomorphic map. D. Motreanu: Generic existence of Morse functions on infinite dimensional Riemannian manifolds and applications. B. Opozda: Some extensions of Radon's theorem
Differential geometry, lie groups, and symmetric spaces by
Sigurdur Helgason(
Book
)
15 editions published between 1978 and 2012 in English and held by 31 WorldCat member libraries worldwide
15 editions published between 1978 and 2012 in English and held by 31 WorldCat member libraries worldwide
Geometric analysis and integral geometry : AMS special session in honor of Sigurdur Helgason's 85th birthday, radon transforms
and geometric analysis, January 47, 2012, Boston, MA ; Tufts University Workshop on Geometric Analysis on Euclidean and Homogeneous
Spaces, January 89, 2012, Medford, MA by
Eric Todd Quinto(
Book
)
4 editions published in 2013 in English and held by 10 WorldCat member libraries worldwide
4 editions published in 2013 in English and held by 10 WorldCat member libraries worldwide
Analytic Properties of Automorphic LFunctions by
Stephen S Gelbart(
)
1 edition published in 2014 in English and held by 0 WorldCat member libraries worldwide
Analytic Properties of Automorphic LFunctions
1 edition published in 2014 in English and held by 0 WorldCat member libraries worldwide
Analytic Properties of Automorphic LFunctions
Differential Geometry and Symmetric Spaces by
Sigurdur Helgason(
)
1 edition published in 2001 in English and held by 0 WorldCat member libraries worldwide
Sigurdur Helgason's Differential Geometry and Symmetric Spaces was quickly recognized as a remarkable and important book. For many years, it was the standard text both for Riemannian geometry and for the analysis and geometry of symmetric spaces. Several generations of mathematicians relied on it for its clarity and careful attention to detail. Although much has happened in the field since the publication of this book, as demonstrated by Helgason's own threevolume expansion of the original work, this single volume is still an excellent overview of the subjects. For instance, even though there
1 edition published in 2001 in English and held by 0 WorldCat member libraries worldwide
Sigurdur Helgason's Differential Geometry and Symmetric Spaces was quickly recognized as a remarkable and important book. For many years, it was the standard text both for Riemannian geometry and for the analysis and geometry of symmetric spaces. Several generations of mathematicians relied on it for its clarity and careful attention to detail. Although much has happened in the field since the publication of this book, as demonstrated by Helgason's own threevolume expansion of the original work, this single volume is still an excellent overview of the subjects. For instance, even though there
Groups and Geometric Analysis, 1 : Radon Transforms, Invariant Differential Operators and Spherical Functions by
Sigurdur Helgason(
)
1 edition published in 1984 in English and held by 0 WorldCat member libraries worldwide
This volume, the second of Helgasonand#39;s three books on Lie groups and the geometry and analysis of symmetric spaces, is an introduction to grouptheoretic methods in analysis on spaces with a group action
1 edition published in 1984 in English and held by 0 WorldCat member libraries worldwide
This volume, the second of Helgasonand#39;s three books on Lie groups and the geometry and analysis of symmetric spaces, is an introduction to grouptheoretic methods in analysis on spaces with a group action
Representation theory of Lie groups : proceedings of the SRC/LMS Research Symposium on Representations of Lie Groups, Oxford,
28 June15 July 1977 by
Michael Francis Atiyah(
)
2 editions published in 1980 in English and held by 0 WorldCat member libraries worldwide
In 1977 a symposium was held in Oxford to introduce Lie groups and their representations to nonspecialists
2 editions published in 1980 in English and held by 0 WorldCat member libraries worldwide
In 1977 a symposium was held in Oxford to introduce Lie groups and their representations to nonspecialists
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 Conference Board of the Mathematical Sciences
 Ólafsson, Gestur Author Editor
 AlaHarja, Marjukka
 Organisation for Economic Cooperation and Development Public Management Committee
 Organisation for Economic Cooperation and Development Public Management Service
 Schlichtkrull, Henrik 1954 Author Editor
 Gardner, Robert Editor
 Ferus, Dirk Author Editor
 Simon, Udo
 Coates, J. Author
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Administrative agenciesEvaluation Algebra Automorphic functions Canada Cell aggregationMathematics Differential equations Evaluation Executive departmentsEvaluation Functions of complex variables Functions of several complex variables Generalized spaces Geometric analysis Geometry, Differential Geometry, Riemannian Global analysis (Mathematics) Global differential geometry Government productivityEvaluation Harmonic analysis Homogeneous spaces Integral geometry Integral transforms Lfunctions Lie groups Mathematical analysis Mathematics OECD countries PhysiologyMathematics Policy sciences Public administrationEvaluation Radon transforms Representations of groups Representations of Lie groups Riemannian manifolds Scientists Symmetric spaces Topological groups United States
Alternative Names
Chelgason, S. 1927
Chelgason, Sigurdur 1927
Helgason, S.
Helgason, Sigurður
Helgason, Sigurđur 1927
Khelgason, S. 1927
Sigurður Helgason
Sigurður Helgason 1927
Sigurður Helgason isländischer Mathematiker
Sigurdur Helgason matemático islandés
Sigurdur Helgason mathématicien islandais
Sigurdur Helgason wiskundige uit IJsland
Сигурдур Хелгасон исландскоамериканский математик
Хелгасон, С 1927
Хелгасон, С. (Сигурдур), 1927
Хелгасон, Сигурдур.
シーグルドゥル・ヘルガソン 数学者
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