eBookISBN:  9780821893739 
Product Code:  PSPUM/68.E 
List Price:  $128.00 
MAA Member Price:  $115.20 
AMS Member Price:  $102.40 
eBook ISBN:  9780821893739 
Product Code:  PSPUM/68.E 
List Price:  $128.00 
MAA Member Price:  $115.20 
AMS Member Price:  $102.40 

Book DetailsProceedings of Symposia in Pure MathematicsVolume: 68; 2000; 549 ppMSC: Primary 05; 11; 15; 17; 19; 22; 32; 44; 46;
HarishChandra was a mathematician of great power, vision, and remarkable ingenuity. His profound contributions to the representation theory of Lie groups, harmonic analysis, and related areas left researchers a rich legacy that continues today. This book presents the proceedings of an AMS Special Session entitled, “Representation Theory and Noncommutative Harmonic Analysis: A Special Session Honoring the Memory of HarishChandra”, which marked 75 years since his birth and 15 years since his untimely death at age 60.
Contributions to the volume were written by an outstanding group of internationally known mathematicians. Included are expository and historical surveys and original research papers. The book also includes talks given at the IAS Memorial Service in 1983 by colleagues who knew HarishChandra well. Also reprinted are two articles entitled, “Some Recollections of HarishChandra”, by A. Borel, and “HarishChandra's cFunction: A Mathematical Jewel”, by S. Helgason. In addition, an expository paper, “An Elementary Introduction to HarishChandra's Work”, gives an overview of some of his most basic mathematical ideas with references for further study.
This volume offers a comprehensive retrospective of HarishChandra's professional life and work. Personal recollections give the book particular significance. Readers should have an advancedlevel background in the representation theory of Lie groups and harmonic analysis.
For other wonderful titles written by this author see: Euler through Time: A New Look at Old Themes, Supersymmetry for Mathematicians: An Introduction, The Selected Works of V.S. Varadarajan, and Algebra in Ancient and Modern Times.ReadershipGraduate students and research mathematicians interested in representation theory of Lie groups and harmonic analysis; historians of mathematics.

Table of Contents

Articles

V. S. Varadarajan  HarishChandra, his work, and its legacy [ MR 1767887 ]

Armand Borel  Some recollections of HarishChandra

Sigurdur Helgason  HarishChandra memorial talk [ MR 1767888 ]

Robert P. Langlands  HarishChandra memorial talk [ MR 1767889 ]

G. Daniel Mostow  HarishChandra memorial talk

V. S. Varadarajan  HarishChandra memorial talk [ MR 1767891 ]

Rebecca A. Herb  An elementary introduction to HarishChandra’s work [ MR 1767892 ]

James Arthur  Stabilization of a family of differential equations [ MR 1767893 ]

Dan Barbasch  Orbital integrals of nilpotent orbits [ MR 1767894 ]

P. F. Baum, N. Higson and R. J. Plymen  Representation theory of $p$adic groups: a view from operator algebras [ MR 1767895 ]

William Casselman, Henryk Hecht and Dragan Miličić  Bruhat filtrations and Whittaker vectors for real groups [ MR 1767896 ]

Stephen DeBacker and Paul J. Sally, Jr.  Germs, characters, and the Fourier transforms of nilpotent orbits [ MR 1767897 ]

Hongming Ding, Kenneth I. Gross, Ray A. Kunze and Donald St. P. Richards  Bessel functions on boundary orbits and singular holomorphic representations [ MR 1767898 ]

B. Gross and N. Wallach  Restriction of small discrete series representations to symmetric subgroups [ MR 1767899 ]

Sigurdur Helgason  HarishChandra’s $\mathbf {c}$function. A mathematical jewel

Rebecca A. Herb  Twostructures and discrete series character formulas [ MR 1767900 ]

Roger E. Howe  HarishChandra homomorphisms [ MR 1767901 ]

Palle E. T. Jorgensen and Gestur Ólafsson  Unitary representations and OsterwalderSchrader duality [ MR 1767902 ]

A. W. Knapp  Intertwining operators and small unitary representations [ MR 1767903 ]

Ray A. Kunze  On some problems in analysis suggested by representation theory [ MR 1767904 ]

Ronald L. Lipsman  Distributional reciprocity and generalized Gelfand pairs [ MR 1767905 ]

Allen Moy  Displacement functions on the BruhatTits building [ MR 1767906 ]

Fiona Murnaghan  Germs of characters of admissible representations [ MR 1767907 ]

Birgit Speh  SeibergWitten equations on locally symmetric spaces [ MR 1767908 ]

Joseph A. Wolf and Roger Zierau  Holomorphic double fibration transforms [ MR 1767909 ]


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HarishChandra was a mathematician of great power, vision, and remarkable ingenuity. His profound contributions to the representation theory of Lie groups, harmonic analysis, and related areas left researchers a rich legacy that continues today. This book presents the proceedings of an AMS Special Session entitled, “Representation Theory and Noncommutative Harmonic Analysis: A Special Session Honoring the Memory of HarishChandra”, which marked 75 years since his birth and 15 years since his untimely death at age 60.
Contributions to the volume were written by an outstanding group of internationally known mathematicians. Included are expository and historical surveys and original research papers. The book also includes talks given at the IAS Memorial Service in 1983 by colleagues who knew HarishChandra well. Also reprinted are two articles entitled, “Some Recollections of HarishChandra”, by A. Borel, and “HarishChandra's cFunction: A Mathematical Jewel”, by S. Helgason. In addition, an expository paper, “An Elementary Introduction to HarishChandra's Work”, gives an overview of some of his most basic mathematical ideas with references for further study.
This volume offers a comprehensive retrospective of HarishChandra's professional life and work. Personal recollections give the book particular significance. Readers should have an advancedlevel background in the representation theory of Lie groups and harmonic analysis.
For other wonderful titles written by this author see: Euler through Time: A New Look at Old Themes, Supersymmetry for Mathematicians: An Introduction, The Selected Works of V.S. Varadarajan, and Algebra in Ancient and Modern Times.
Graduate students and research mathematicians interested in representation theory of Lie groups and harmonic analysis; historians of mathematics.

Articles

V. S. Varadarajan  HarishChandra, his work, and its legacy [ MR 1767887 ]

Armand Borel  Some recollections of HarishChandra

Sigurdur Helgason  HarishChandra memorial talk [ MR 1767888 ]

Robert P. Langlands  HarishChandra memorial talk [ MR 1767889 ]

G. Daniel Mostow  HarishChandra memorial talk

V. S. Varadarajan  HarishChandra memorial talk [ MR 1767891 ]

Rebecca A. Herb  An elementary introduction to HarishChandra’s work [ MR 1767892 ]

James Arthur  Stabilization of a family of differential equations [ MR 1767893 ]

Dan Barbasch  Orbital integrals of nilpotent orbits [ MR 1767894 ]

P. F. Baum, N. Higson and R. J. Plymen  Representation theory of $p$adic groups: a view from operator algebras [ MR 1767895 ]

William Casselman, Henryk Hecht and Dragan Miličić  Bruhat filtrations and Whittaker vectors for real groups [ MR 1767896 ]

Stephen DeBacker and Paul J. Sally, Jr.  Germs, characters, and the Fourier transforms of nilpotent orbits [ MR 1767897 ]

Hongming Ding, Kenneth I. Gross, Ray A. Kunze and Donald St. P. Richards  Bessel functions on boundary orbits and singular holomorphic representations [ MR 1767898 ]

B. Gross and N. Wallach  Restriction of small discrete series representations to symmetric subgroups [ MR 1767899 ]

Sigurdur Helgason  HarishChandra’s $\mathbf {c}$function. A mathematical jewel

Rebecca A. Herb  Twostructures and discrete series character formulas [ MR 1767900 ]

Roger E. Howe  HarishChandra homomorphisms [ MR 1767901 ]

Palle E. T. Jorgensen and Gestur Ólafsson  Unitary representations and OsterwalderSchrader duality [ MR 1767902 ]

A. W. Knapp  Intertwining operators and small unitary representations [ MR 1767903 ]

Ray A. Kunze  On some problems in analysis suggested by representation theory [ MR 1767904 ]

Ronald L. Lipsman  Distributional reciprocity and generalized Gelfand pairs [ MR 1767905 ]

Allen Moy  Displacement functions on the BruhatTits building [ MR 1767906 ]

Fiona Murnaghan  Germs of characters of admissible representations [ MR 1767907 ]

Birgit Speh  SeibergWitten equations on locally symmetric spaces [ MR 1767908 ]

Joseph A. Wolf and Roger Zierau  Holomorphic double fibration transforms [ MR 1767909 ]