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The Mathematical Legacy of Harish-Chandra: A Celebration of Representation Theory and Harmonic Analysis
 
Edited by: Robert S. Doran Texas Christian University, Fort Worth, TX
V. S. Varadarajan University of California, Los Angeles, Los Angeles, CA
The Mathematical Legacy of Harish-Chandra
eBook ISBN:  978-0-8218-9373-9
Product Code:  PSPUM/68.E
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
The Mathematical Legacy of Harish-Chandra
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The Mathematical Legacy of Harish-Chandra: A Celebration of Representation Theory and Harmonic Analysis
Edited by: Robert S. Doran Texas Christian University, Fort Worth, TX
V. S. Varadarajan University of California, Los Angeles, Los Angeles, CA
eBook ISBN:  978-0-8218-9373-9
Product Code:  PSPUM/68.E
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
  • Book Details
     
     
    Proceedings of Symposia in Pure Mathematics
    Volume: 682000; 549 pp
    MSC: Primary 05; 11; 15; 17; 19; 22; 32; 44; 46

    Harish-Chandra 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 Harish-Chandra”, 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 Harish-Chandra well. Also reprinted are two articles entitled, “Some Recollections of Harish-Chandra”, by A. Borel, and “Harish-Chandra's c-Function: A Mathematical Jewel”, by S. Helgason. In addition, an expository paper, “An Elementary Introduction to Harish-Chandra'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 Harish-Chandra's professional life and work. Personal recollections give the book particular significance. Readers should have an advanced-level 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.

    Readership

    Graduate students and research mathematicians interested in representation theory of Lie groups and harmonic analysis; historians of mathematics.

  • Table of Contents
     
     
    • Articles
    • V. S. Varadarajan — Harish-Chandra, his work, and its legacy [ MR 1767887 ]
    • Armand Borel — Some recollections of Harish-Chandra
    • Sigurdur Helgason — Harish-Chandra memorial talk [ MR 1767888 ]
    • Robert P. Langlands — Harish-Chandra memorial talk [ MR 1767889 ]
    • G. Daniel Mostow — Harish-Chandra memorial talk
    • V. S. Varadarajan — Harish-Chandra memorial talk [ MR 1767891 ]
    • Rebecca A. Herb — An elementary introduction to Harish-Chandra’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 — Harish-Chandra’s $\mathbf {c}$-function. A mathematical jewel
    • Rebecca A. Herb — Two-structures and discrete series character formulas [ MR 1767900 ]
    • Roger E. Howe — Harish-Chandra homomorphisms [ MR 1767901 ]
    • Palle E. T. Jorgensen and Gestur Ólafsson — Unitary representations and Osterwalder-Schrader 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 Bruhat-Tits building [ MR 1767906 ]
    • Fiona Murnaghan — Germs of characters of admissible representations [ MR 1767907 ]
    • Birgit Speh — Seiberg-Witten equations on locally symmetric spaces [ MR 1767908 ]
    • Joseph A. Wolf and Roger Zierau — Holomorphic double fibration transforms [ MR 1767909 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 682000; 549 pp
MSC: Primary 05; 11; 15; 17; 19; 22; 32; 44; 46

Harish-Chandra 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 Harish-Chandra”, 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 Harish-Chandra well. Also reprinted are two articles entitled, “Some Recollections of Harish-Chandra”, by A. Borel, and “Harish-Chandra's c-Function: A Mathematical Jewel”, by S. Helgason. In addition, an expository paper, “An Elementary Introduction to Harish-Chandra'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 Harish-Chandra's professional life and work. Personal recollections give the book particular significance. Readers should have an advanced-level 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.

Readership

Graduate students and research mathematicians interested in representation theory of Lie groups and harmonic analysis; historians of mathematics.

  • Articles
  • V. S. Varadarajan — Harish-Chandra, his work, and its legacy [ MR 1767887 ]
  • Armand Borel — Some recollections of Harish-Chandra
  • Sigurdur Helgason — Harish-Chandra memorial talk [ MR 1767888 ]
  • Robert P. Langlands — Harish-Chandra memorial talk [ MR 1767889 ]
  • G. Daniel Mostow — Harish-Chandra memorial talk
  • V. S. Varadarajan — Harish-Chandra memorial talk [ MR 1767891 ]
  • Rebecca A. Herb — An elementary introduction to Harish-Chandra’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 — Harish-Chandra’s $\mathbf {c}$-function. A mathematical jewel
  • Rebecca A. Herb — Two-structures and discrete series character formulas [ MR 1767900 ]
  • Roger E. Howe — Harish-Chandra homomorphisms [ MR 1767901 ]
  • Palle E. T. Jorgensen and Gestur Ólafsson — Unitary representations and Osterwalder-Schrader 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 Bruhat-Tits building [ MR 1767906 ]
  • Fiona Murnaghan — Germs of characters of admissible representations [ MR 1767907 ]
  • Birgit Speh — Seiberg-Witten equations on locally symmetric spaces [ MR 1767908 ]
  • Joseph A. Wolf and Roger Zierau — Holomorphic double fibration transforms [ MR 1767909 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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