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Harmonic analysis on homogeneous spaces. [electronic resource] [Edited by Calvin C. Moore]

By: Symposium in Pure Mathematics Williams College, 1972Contributor(s): Moore, C. C. (Calvin C.), 1936- [ed.] | Williams College | American Mathematical SocietyMaterial type: Text

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 | Contents

Partial contents:

Representations of solvable and nilpotent groups and harmonic analysis on nil and solvmanifolds / Calvin C. Moore -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0385001 The theory of characters and the discrete series for semisimple Lie groups / V. S. Varadarajan -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0409730 Functions on symmetric spaces / Sigurdur Helgason -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0346429 Quantization and representation theory / Robert J. Blattner -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0341529 Harmonic analysis on reductive $p$-adic groups / Harish-Chandra -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0340486 Boundary theory and stochastic processes on homogeneous spaces / Harry Furstenberg -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0352328 The primitive ideal space of solvable Lie groups / L. Pukanszky -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0333077 Group extensions and the Plancherel formula / Adam Kleppner and Ronald L. Lipsman -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0333065 Square-integrable representations of nilpotent groups / Joseph A. Wolf and Calvin C. Moore -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0333072 Mackey's little group method and $L^2$ of compact homogeneous spaces / J. Brezin -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/9938 On the spectrum of a compact solvmanifold / Roger Howe -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0338264 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 -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0338268 Determination of intertwining operators / A. W. Knapp -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0338266 Kostant's $P^\gamma $ and $R^\gamma $ matrices and intertwining integrals / Nolan R. Wallach -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/9937 On an exceptional series of representations / Kenneth Johnson -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0340480 Explicit form of the characters of discrete series representations of semisimple Lie groups / Takeshi Hirai -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0404529 The subquotient theorem and some applications / J. Lepowsky -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0333073 On the continuous spectrum for a semisimple Lie group / P. C. Trombi -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0335690 The spectrum of a reductive Lie group / Joseph A. Wolf -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0369620 Geometric realizations of representations of reductive Lie groups / Joseph A. Wolf -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0369621 The use of partial differential equations for the study of group representations / Leon Ehrenpreis -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0344379 Some remarks on boundary behavior of analytic functions / Charles Fefferman -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0419770 Boundary behavior of Poisson integrals / Lars-�Ake Lindahl -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0333602 Generalized Poisson integrals and their boundary behavior / H. Lee Michelson -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0361629 Refinements of Abel summability for Jacobi series / Richard Askey -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0340934 Spherical functions on rank one symmetric spaces and generalizations / M. Flensted-Jensen -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0346430 Bessel functions, representation theory, and automorphic functions / Stephen Gelbart -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0344380 Generalized Bessel transforms and unitary representations / Kenneth I. Gross and Ray A. Kunze -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0344381 Explicit formulas for special functions related to symmetric spaces / Tom Koornwinder -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0346211 Lie algebras and generalizations of hypergeometric functions / Willard Miller, Jr. -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0335897 A noncompact analogue of spherical harmonics / R. Strichartz -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0344806 Subelliptic operators on the Heisenberg group / G. B. Folland -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0344700 Singular integrals related to nilpotent groups and $\bar \partial $\ estimates / E. M. Stein -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0344701 Operators transferred by representations of an amenable group / Ronald R. Coifman and Guido Weiss -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0340967 Invariant means and unitary representations / Pierre Eymard -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0333064 Two conjectures about reductive $p$-adic groups / Roger Howe -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0338278 Zeta functions of simple algebras (local theory) / Herv�e Jacquet -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0352056 On work of Macdonald and $L^2(G/B)$ for a $p$-adic group / Allan J. Silberger -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0338282 Character formulas for $SL_2$ / P. J. Sally, Jr. -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0338281 Characters of finite Chevalley groups / T. A. Springer -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0338150 On the discrete series for Chevalley groups / Paul G�erardin -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0367118 The Steinberg character as a true character / W. Casselman -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0338273 Harmonic analysis on trees / P. Cartier -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0338272 Whittaker models for admissible representations of reductive $p$-adic split groups / Fran�cois Rodier -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0354942

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"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 --