Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
Please make all selections above before adding to cart
Harmonic Analysis on Homogeneous Spaces
Edited by:
C. C. Moore
eBook ISBN:  9780821893128 
Product Code:  PSPUM/26.E 
List Price:  $135.00 
MAA Member Price:  $121.50 
AMS Member Price:  $108.00 
Click above image for expanded view
Harmonic Analysis on Homogeneous Spaces
Edited by:
C. C. Moore
eBook ISBN:  9780821893128 
Product Code:  PSPUM/26.E 
List Price:  $135.00 
MAA Member Price:  $121.50 
AMS Member Price:  $108.00 

Book DetailsProceedings of Symposia in Pure MathematicsVolume: 26; 1973; 467 ppMSC: 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 ]

HarishChandra — 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 — Squareintegrable 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 ]

LarsȦke 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. FlenstedJensen — 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, HarishChandra)

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 ]


RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
 Book Details
 Table of Contents
 Requests
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 ]

HarishChandra — 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 — Squareintegrable 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 ]

LarsȦke 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. FlenstedJensen — 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, HarishChandra)

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 ]
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
Please select which format for which you are requesting permissions.