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Harmonic Analysis on Homogeneous Spaces
 
Edited by: C. C. Moore
Harmonic Analysis on Homogeneous Spaces
eBook ISBN:  978-0-8218-9312-8
Product Code:  PSPUM/26.E
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Add to cart
Harmonic Analysis on Homogeneous Spaces
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Harmonic Analysis on Homogeneous Spaces
Edited by: C. C. Moore
eBook ISBN:  978-0-8218-9312-8
Product Code:  PSPUM/26.E
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Add to cart
  • Book Details
     
     
    Proceedings of Symposia in Pure Mathematics
    Volume: 26; 1973; 467 pp
    MSC: Primary 22; Secondary 12; 33
  • Table of Contents
     
     
    • Part I: Invited lectures
    • Calvin C. Moore — Representations of solvable and nilpotent groups and harmonic analysis on nil and solvmanifolds [ MR 0385001 ]
    • V. S. Varadarajan — The theory of characters and the discrete series for semisimple Lie groups [ MR 0409730 ]
    • Sigurdur Helgason — Functions on symmetric spaces [ MR 0346429 ]
    • Robert J. Blattner — Quantization and representation theory [ MR 0341529 ]
    • Harish-Chandra — Harmonic analysis on reductive $p$-adic groups [ MR 0340486 ]
    • Harry Furstenberg — Boundary theory and stochastic processes on homogeneous spaces [ MR 0352328 ]
    • Part II: Seminars
    • Seminar on representation theory of solvable groups and harmonic analysis on solvmanifolds (Chairman, L. Auslander)
    • L. Pukanszky — The primitive ideal space of solvable Lie groups [ MR 0333077 ]
    • Adam Kleppner and Ronald L. Lipsman — Group extensions and the Plancherel formula [ MR 0333065 ]
    • Joseph A. Wolf and Calvin C. Moore — Square-integrable representations of nilpotent groups [ MR 0333072 ]
    • J. Brezin — Mackey’s little group method and $L^2$ of compact homogeneous spaces
    • Roger Howe — On the spectrum of a compact solvmanifold [ MR 0338264 ]
    • H. Rossi and M. Vergne — Study of some holomorphically induced representations of solvable groups and restriction of the holomorphic discrete series of a semisimple group $G$ to the minimal parabolic of $G$ [ MR 0338268 ]
    • Seminar on irreducibility and realization of various series of representations of semisimple groups (Chairman, B. Kostant)
    • A. W. Knapp — Determination of intertwining operators [ MR 0338266 ]
    • Nolan R. Wallach — Kostant’s $P^\gamma $ and $R^\gamma $ matrices and intertwining integrals
    • Kenneth Johnson — On an exceptional series of representations [ MR 0340480 ]
    • Takeshi Hirai — Explicit form of the characters of discrete series representations of semisimple Lie groups [ MR 0404529 ]
    • J. Lepowsky — The subquotient theorem and some applications [ MR 0333073 ]
    • P. C. Trombi — On the continuous spectrum for a semisimple Lie group [ MR 0335690 ]
    • Joseph A. Wolf — The spectrum of a reductive Lie group [ MR 0369620 ]
    • Joseph A. Wolf — Geometric realizations of representations of reductive Lie groups [ MR 0369621 ]
    • Leon Ehrenpreis — The use of partial differential equations for the study of group representations [ MR 0344379 ]
    • Seminar on boundary behavior, special functions, and integral transforms in group representations (Chairman, E. Stein)
    • Charles Fefferman — Some remarks on boundary behavior of analytic functions [ MR 0419770 ]
    • Lars-Ȧke Lindahl — Boundary behavior of Poisson integrals [ MR 0333602 ]
    • H. Lee Michelson — Generalized Poisson integrals and their boundary behavior [ MR 0361629 ]
    • Richard Askey — Refinements of Abel summability for Jacobi series [ MR 0340934 ]
    • M. Flensted-Jensen — Spherical functions on rank one symmetric spaces and generalizations [ MR 0346430 ]
    • Stephen Gelbart — Bessel functions, representation theory, and automorphic functions [ MR 0344380 ]
    • Kenneth I. Gross and Ray A. Kunze — Generalized Bessel transforms and unitary representations [ MR 0344381 ]
    • Tom Koornwinder — Explicit formulas for special functions related to symmetric spaces [ MR 0346211 ]
    • Willard Miller, Jr. — Lie algebras and generalizations of hypergeometric functions [ MR 0335897 ]
    • R. Strichartz — A noncompact analogue of spherical harmonics [ MR 0344806 ]
    • G. B. Folland — Subelliptic operators on the Heisenberg group [ MR 0344700 ]
    • E. M. Stein — Singular integrals related to nilpotent groups and $\bar \partial $ estimates [ MR 0344701 ]
    • Ronald R. Coifman and Guido Weiss — Operators transferred by representations of an amenable group [ MR 0340967 ]
    • Pierre Eymard — Invariant means and unitary representations [ MR 0333064 ]
    • Seminar on representations of $p$-adic groups (Chairman, Harish-Chandra)
    • Roger Howe — Two conjectures about reductive $p$-adic groups [ MR 0338278 ]
    • Hervé Jacquet — Zeta functions of simple algebras (local theory) [ MR 0352056 ]
    • Allan J. Silberger — On work of Macdonald and $L^2(G/B)$ for a $p$-adic group [ MR 0338282 ]
    • P. J. Sally, Jr. — Character formulas for $SL_2$ [ MR 0338281 ]
    • T. A. Springer — Characters of finite Chevalley groups [ MR 0338150 ]
    • Paul Gérardin — On the discrete series for Chevalley groups [ MR 0367118 ]
    • W. Casselman — The Steinberg character as a true character [ MR 0338273 ]
    • P. Cartier — Harmonic analysis on trees [ MR 0338272 ]
    • François Rodier — Whittaker models for admissible representations of reductive $p$-adic split groups [ MR 0354942 ]
    • Seminar on automorphic forms and $L^2(G/\Gamma )$ (Chairman, R. Godement)
    • Ramesh Gangolli — Spectra of discrete subgroups [ MR 0367113 ]
    • Stephen Gelbart — An example in the theory of automorphic forms [ MR 0354558 ]
    • Gilles Lachaud — Spectral analysis of automorphic forms on rank one groups by perturbation methods [ MR 0338468 ]
  • 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
Proceedings of Symposia in Pure Mathematics
Volume: 26; 1973; 467 pp
MSC: Primary 22; Secondary 12; 33
  • Part I: Invited lectures
  • Calvin C. Moore — Representations of solvable and nilpotent groups and harmonic analysis on nil and solvmanifolds [ MR 0385001 ]
  • V. S. Varadarajan — The theory of characters and the discrete series for semisimple Lie groups [ MR 0409730 ]
  • Sigurdur Helgason — Functions on symmetric spaces [ MR 0346429 ]
  • Robert J. Blattner — Quantization and representation theory [ MR 0341529 ]
  • Harish-Chandra — Harmonic analysis on reductive $p$-adic groups [ MR 0340486 ]
  • Harry Furstenberg — Boundary theory and stochastic processes on homogeneous spaces [ MR 0352328 ]
  • Part II: Seminars
  • Seminar on representation theory of solvable groups and harmonic analysis on solvmanifolds (Chairman, L. Auslander)
  • L. Pukanszky — The primitive ideal space of solvable Lie groups [ MR 0333077 ]
  • Adam Kleppner and Ronald L. Lipsman — Group extensions and the Plancherel formula [ MR 0333065 ]
  • Joseph A. Wolf and Calvin C. Moore — Square-integrable representations of nilpotent groups [ MR 0333072 ]
  • J. Brezin — Mackey’s little group method and $L^2$ of compact homogeneous spaces
  • Roger Howe — On the spectrum of a compact solvmanifold [ MR 0338264 ]
  • H. Rossi and M. Vergne — Study of some holomorphically induced representations of solvable groups and restriction of the holomorphic discrete series of a semisimple group $G$ to the minimal parabolic of $G$ [ MR 0338268 ]
  • Seminar on irreducibility and realization of various series of representations of semisimple groups (Chairman, B. Kostant)
  • A. W. Knapp — Determination of intertwining operators [ MR 0338266 ]
  • Nolan R. Wallach — Kostant’s $P^\gamma $ and $R^\gamma $ matrices and intertwining integrals
  • Kenneth Johnson — On an exceptional series of representations [ MR 0340480 ]
  • Takeshi Hirai — Explicit form of the characters of discrete series representations of semisimple Lie groups [ MR 0404529 ]
  • J. Lepowsky — The subquotient theorem and some applications [ MR 0333073 ]
  • P. C. Trombi — On the continuous spectrum for a semisimple Lie group [ MR 0335690 ]
  • Joseph A. Wolf — The spectrum of a reductive Lie group [ MR 0369620 ]
  • Joseph A. Wolf — Geometric realizations of representations of reductive Lie groups [ MR 0369621 ]
  • Leon Ehrenpreis — The use of partial differential equations for the study of group representations [ MR 0344379 ]
  • Seminar on boundary behavior, special functions, and integral transforms in group representations (Chairman, E. Stein)
  • Charles Fefferman — Some remarks on boundary behavior of analytic functions [ MR 0419770 ]
  • Lars-Ȧke Lindahl — Boundary behavior of Poisson integrals [ MR 0333602 ]
  • H. Lee Michelson — Generalized Poisson integrals and their boundary behavior [ MR 0361629 ]
  • Richard Askey — Refinements of Abel summability for Jacobi series [ MR 0340934 ]
  • M. Flensted-Jensen — Spherical functions on rank one symmetric spaces and generalizations [ MR 0346430 ]
  • Stephen Gelbart — Bessel functions, representation theory, and automorphic functions [ MR 0344380 ]
  • Kenneth I. Gross and Ray A. Kunze — Generalized Bessel transforms and unitary representations [ MR 0344381 ]
  • Tom Koornwinder — Explicit formulas for special functions related to symmetric spaces [ MR 0346211 ]
  • Willard Miller, Jr. — Lie algebras and generalizations of hypergeometric functions [ MR 0335897 ]
  • R. Strichartz — A noncompact analogue of spherical harmonics [ MR 0344806 ]
  • G. B. Folland — Subelliptic operators on the Heisenberg group [ MR 0344700 ]
  • E. M. Stein — Singular integrals related to nilpotent groups and $\bar \partial $ estimates [ MR 0344701 ]
  • Ronald R. Coifman and Guido Weiss — Operators transferred by representations of an amenable group [ MR 0340967 ]
  • Pierre Eymard — Invariant means and unitary representations [ MR 0333064 ]
  • Seminar on representations of $p$-adic groups (Chairman, Harish-Chandra)
  • Roger Howe — Two conjectures about reductive $p$-adic groups [ MR 0338278 ]
  • Hervé Jacquet — Zeta functions of simple algebras (local theory) [ MR 0352056 ]
  • Allan J. Silberger — On work of Macdonald and $L^2(G/B)$ for a $p$-adic group [ MR 0338282 ]
  • P. J. Sally, Jr. — Character formulas for $SL_2$ [ MR 0338281 ]
  • T. A. Springer — Characters of finite Chevalley groups [ MR 0338150 ]
  • Paul Gérardin — On the discrete series for Chevalley groups [ MR 0367118 ]
  • W. Casselman — The Steinberg character as a true character [ MR 0338273 ]
  • P. Cartier — Harmonic analysis on trees [ MR 0338272 ]
  • François Rodier — Whittaker models for admissible representations of reductive $p$-adic split groups [ MR 0354942 ]
  • Seminar on automorphic forms and $L^2(G/\Gamma )$ (Chairman, R. Godement)
  • Ramesh Gangolli — Spectra of discrete subgroups [ MR 0367113 ]
  • Stephen Gelbart — An example in the theory of automorphic forms [ MR 0354558 ]
  • Gilles Lachaud — Spectral analysis of automorphic forms on rank one groups by perturbation methods [ MR 0338468 ]
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Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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