Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Lie Groups and Symmetric Spaces: In Memory of F. I. Karpelevich
 
Edited by: S. G. Gindikin :  Rutgers University, New Brunswick, NJ
Lie Groups and Symmetric Spaces
Hardcover ISBN:  978-0-8218-3472-5
Product Code:  TRANS2/210
List Price: $175.00
MAA Member Price: $157.50
AMS Member Price: $140.00
eBook ISBN:  978-1-4704-3421-2
Product Code:  TRANS2/210.E
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
Hardcover ISBN:  978-0-8218-3472-5
eBook: ISBN:  978-1-4704-3421-2
Product Code:  TRANS2/210.B
List Price: $340.00 $257.50
MAA Member Price: $306.00 $231.75
AMS Member Price: $272.00 $206.00
Add to cart
Lie Groups and Symmetric Spaces
Click above image for expanded view
Lie Groups and Symmetric Spaces: In Memory of F. I. Karpelevich
Edited by: S. G. Gindikin :  Rutgers University, New Brunswick, NJ
Hardcover ISBN:  978-0-8218-3472-5
Product Code:  TRANS2/210
List Price: $175.00
MAA Member Price: $157.50
AMS Member Price: $140.00
eBook ISBN:  978-1-4704-3421-2
Product Code:  TRANS2/210.E
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
Hardcover ISBN:  978-0-8218-3472-5
eBook ISBN:  978-1-4704-3421-2
Product Code:  TRANS2/210.B
List Price: $340.00 $257.50
MAA Member Price: $306.00 $231.75
AMS Member Price: $272.00 $206.00
Add to cart
  • Book Details
     
     
    American Mathematical Society Translations - Series 2
    Advances in the Mathematical Sciences
    Volume: 210; 2003; 355 pp
    MSC: Primary 22; 53; 00

    The book contains survey and research articles devoted mainly to geometry and harmonic analysis of symmetric spaces and to corresponding aspects of group representation theory. The volume is dedicated to the memory of Russian mathematician, F. I. Karpelevich (1927–2000).

    Of particular interest are the survey articles by Sawyer on the Abel transform on noncompact Riemannian symmetric spaces, and by Anker and Ostellari on estimates for heat kernels on such spaces, as well as the article by Bernstein and Gindikin on integral geometry for families of curves. There are also many research papers on topics of current interest.

    The book is suitable for graduate students and research mathematicians interested in harmonic analysis and representation theory.
    Readership

    Graduate students and research mathematicians interested in harmonic analysis and representation theory.
  • Table of Contents
     
     
    • Chapters
    • Dmitri N. Akhiezer — Asymptotic distribution of eigenvalues for certain elements of the group ring of a compact Lie group
    • Dmitri V. Alekseevsky and Antonio J. Di Scala — Minimal homogeneous submanifolds of symmetric spaces
    • Jean-Philippe Anker and Patrick Ostellari — The heat kernel on noncompact symmetric spaces
    • Ehud Moshe Baruch, Ilya Piatetski-Shapiro and Stephen Rallis — On the uniqueness of Fourier Jacobi models for representations of $U(2,1)$
    • Joseph Bernstein and Simon Gindikin — Notes on integral geometry for manifolds of curves
    • Benjamin Enriquez and Pavel Etingof — Quantization of Alekseev-Meinrenken dynamical $r$-matrices
    • Jacques Faraut — Analysis on the crown of a Riemannian symmetric space
    • Israel Gelfand, Vladimir Retakh and Robert Lee Wilson — Quaternionic quasideterminants and determinants
    • Simon Gindikin — Product formula for $c$-function and inverse horospherical transform
    • J. Hilgert, A. Pasquale and E. B. Vinberg — The dual horospherical Radon transform as a limit of spherical Radon transforms
    • A. W. Knapp — The Gindikin-Karpelevič formula and intertwining operators
    • Toshiyuki Kobayashi and Salma Nasrin — Multiplicity one theorem in the orbit method
    • Bernhard Krötz and Gestur Ólafsson — The c-function for non-compactly causal symmetric spaces and its relations to harmonic analysis and representation theory
    • I. G. Macdonald — A formal identity for affine root systems
    • V. F. Molchanov — Canonical representations and overgroups
    • Yurii A. Neretin — Pencils of geodesics in symmetric spaces, Karpelevich boundary, and associahedron-like polyhedra
    • M. A. Olshanetsky and V.-B. K. Rogov — Poisson formula for a family of non-commutative Lobachevsky spaces
    • A. L. Onishchik — Real semisimple Lie algebras and their representations
    • Toshio Oshima — A calculation of $c$-functions for semisimple symmetric spaces
    • P. Sawyer — The Abel transform on symmetric spaces of noncompact type
  • Additional Material
     
     
  • 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
American Mathematical Society Translations - Series 2
Advances in the Mathematical Sciences
Volume: 210; 2003; 355 pp
MSC: Primary 22; 53; 00

The book contains survey and research articles devoted mainly to geometry and harmonic analysis of symmetric spaces and to corresponding aspects of group representation theory. The volume is dedicated to the memory of Russian mathematician, F. I. Karpelevich (1927–2000).

Of particular interest are the survey articles by Sawyer on the Abel transform on noncompact Riemannian symmetric spaces, and by Anker and Ostellari on estimates for heat kernels on such spaces, as well as the article by Bernstein and Gindikin on integral geometry for families of curves. There are also many research papers on topics of current interest.

The book is suitable for graduate students and research mathematicians interested in harmonic analysis and representation theory.
Readership

Graduate students and research mathematicians interested in harmonic analysis and representation theory.
  • Chapters
  • Dmitri N. Akhiezer — Asymptotic distribution of eigenvalues for certain elements of the group ring of a compact Lie group
  • Dmitri V. Alekseevsky and Antonio J. Di Scala — Minimal homogeneous submanifolds of symmetric spaces
  • Jean-Philippe Anker and Patrick Ostellari — The heat kernel on noncompact symmetric spaces
  • Ehud Moshe Baruch, Ilya Piatetski-Shapiro and Stephen Rallis — On the uniqueness of Fourier Jacobi models for representations of $U(2,1)$
  • Joseph Bernstein and Simon Gindikin — Notes on integral geometry for manifolds of curves
  • Benjamin Enriquez and Pavel Etingof — Quantization of Alekseev-Meinrenken dynamical $r$-matrices
  • Jacques Faraut — Analysis on the crown of a Riemannian symmetric space
  • Israel Gelfand, Vladimir Retakh and Robert Lee Wilson — Quaternionic quasideterminants and determinants
  • Simon Gindikin — Product formula for $c$-function and inverse horospherical transform
  • J. Hilgert, A. Pasquale and E. B. Vinberg — The dual horospherical Radon transform as a limit of spherical Radon transforms
  • A. W. Knapp — The Gindikin-Karpelevič formula and intertwining operators
  • Toshiyuki Kobayashi and Salma Nasrin — Multiplicity one theorem in the orbit method
  • Bernhard Krötz and Gestur Ólafsson — The c-function for non-compactly causal symmetric spaces and its relations to harmonic analysis and representation theory
  • I. G. Macdonald — A formal identity for affine root systems
  • V. F. Molchanov — Canonical representations and overgroups
  • Yurii A. Neretin — Pencils of geodesics in symmetric spaces, Karpelevich boundary, and associahedron-like polyhedra
  • M. A. Olshanetsky and V.-B. K. Rogov — Poisson formula for a family of non-commutative Lobachevsky spaces
  • A. L. Onishchik — Real semisimple Lie algebras and their representations
  • Toshio Oshima — A calculation of $c$-functions for semisimple symmetric spaces
  • P. Sawyer — The Abel transform on symmetric spaces of noncompact type
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
Powered by MathJax
Please select which format for which you are requesting permissions.