Harmonic analysis on homogeneous spaces. [electronic resource] [Edited by Calvin C. Moore]
Material type: TextSeries: Proceedings of symposia in pure mathematics ; v. 26Publication details: Providence, American Mathematical Society, 1973Description: 1 online resource (x, 467 p.)ISBN: 9780821893128 (online)Subject(s): Locally compact groups | Lie groups | Functions, Special | Harmonic analysisAdditional physical formats: Harmonic analysis on homogeneous spaces.DDC classification: 512/.55 LOC classification: QA387 | .S94 1972Online resources: Contents | ContentsCurrent library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
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IMSc Library | IMSc Library | Link to resource | Available | EBK12364 |
"An outgrowth of the nineteenth summer research institute of the American Mathematical Society."
Includes bibliographies.
Representations of solvable and nilpotent groups and harmonic analysis on nil and solvmanifolds / Calvin C. Moore -- The theory of characters and the discrete series for semisimple Lie groups / V. S. Varadarajan -- Functions on symmetric spaces / Sigurdur Helgason -- Quantization and representation theory / Robert J. Blattner -- Harmonic analysis on reductive $p$-adic groups / Harish-Chandra -- Boundary theory and stochastic processes on homogeneous spaces / Harry Furstenberg -- The primitive ideal space of solvable Lie groups / L. Pukanszky -- Group extensions and the Plancherel formula / Adam Kleppner and Ronald L. Lipsman -- Square-integrable representations of nilpotent groups / Joseph A. Wolf and Calvin C. Moore -- Mackey's little group method and $L^2$ of compact homogeneous spaces / J. Brezin -- On the spectrum of a compact solvmanifold / Roger Howe -- 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 $G$ / H. Rossi and M. Vergne -- Determination of intertwining operators / A. W. Knapp -- Kostant's $P^\gamma $ and $R^\gamma $ matrices and intertwining integrals / Nolan R. Wallach -- On an exceptional series of representations / Kenneth Johnson -- Explicit form of the characters of discrete series representations of semisimple Lie groups / Takeshi Hirai -- The subquotient theorem and some applications / J. Lepowsky -- On the continuous spectrum for a semisimple Lie group / P. C. Trombi -- The spectrum of a reductive Lie group / Joseph A. Wolf -- Geometric realizations of representations of reductive Lie groups / Joseph A. Wolf -- The use of partial differential equations for the study of group representations / Leon Ehrenpreis -- Some remarks on boundary behavior of analytic functions / Charles Fefferman -- Boundary behavior of Poisson integrals / Lars-�Ake Lindahl -- Generalized Poisson integrals and their boundary behavior / H. Lee Michelson -- Refinements of Abel summability for Jacobi series / Richard Askey -- Spherical functions on rank one symmetric spaces and generalizations / M. Flensted-Jensen -- Bessel functions, representation theory, and automorphic functions / Stephen Gelbart -- Generalized Bessel transforms and unitary representations / Kenneth I. Gross and Ray A. Kunze -- Explicit formulas for special functions related to symmetric spaces / Tom Koornwinder -- Lie algebras and generalizations of hypergeometric functions / Willard Miller, Jr. -- A noncompact analogue of spherical harmonics / R. Strichartz -- Subelliptic operators on the Heisenberg group / G. B. Folland -- Singular integrals related to nilpotent groups and $\bar \partial $\ estimates / E. M. Stein -- Operators transferred by representations of an amenable group / Ronald R. Coifman and Guido Weiss -- Invariant means and unitary representations / Pierre Eymard -- Two conjectures about reductive $p$-adic groups / Roger Howe -- Zeta functions of simple algebras (local theory) / Herv�e Jacquet -- On work of Macdonald and $L^2(G/B)$ for a $p$-adic group / Allan J. Silberger -- Character formulas for $SL_2$ / P. J. Sally, Jr. -- Characters of finite Chevalley groups / T. A. Springer -- On the discrete series for Chevalley groups / Paul G�erardin -- The Steinberg character as a true character / W. Casselman -- Harmonic analysis on trees / P. Cartier -- Whittaker models for admissible representations of reductive $p$-adic split groups / Fran�cois Rodier --
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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012
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