Harmonic analysis on homogeneous spaces. [electronic resource]
[Edited by Calvin C. Moore]
- Providence, American Mathematical Society, 1973.
- 1 online resource (x, 467 p.)
- Proceedings of symposia in pure mathematics, v. 26 0082-0717 (print); 2324-707X (online); .
"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 / The theory of characters and the discrete series for semisimple Lie groups / Functions on symmetric spaces / Quantization and representation theory / Harmonic analysis on reductive $p$-adic groups / Boundary theory and stochastic processes on homogeneous spaces / The primitive ideal space of solvable Lie groups / Group extensions and the Plancherel formula / Square-integrable representations of nilpotent groups / Mackey's little group method and $L^2$ of compact homogeneous spaces / On the spectrum of a compact solvmanifold / 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 $G$ / Determination of intertwining operators / Kostant's $P^\gamma $ and $R^\gamma $ matrices and intertwining integrals / On an exceptional series of representations / Explicit form of the characters of discrete series representations of semisimple Lie groups / The subquotient theorem and some applications / On the continuous spectrum for a semisimple Lie group / The spectrum of a reductive Lie group / Geometric realizations of representations of reductive Lie groups / The use of partial differential equations for the study of group representations / Some remarks on boundary behavior of analytic functions / Boundary behavior of Poisson integrals / Generalized Poisson integrals and their boundary behavior / Refinements of Abel summability for Jacobi series / Spherical functions on rank one symmetric spaces and generalizations / Bessel functions, representation theory, and automorphic functions / Generalized Bessel transforms and unitary representations / Explicit formulas for special functions related to symmetric spaces / Lie algebras and generalizations of hypergeometric functions / A noncompact analogue of spherical harmonics / Subelliptic operators on the Heisenberg group / Singular integrals related to nilpotent groups and $\bar \partial $\ estimates / Operators transferred by representations of an amenable group / Invariant means and unitary representations / Two conjectures about reductive $p$-adic groups / Zeta functions of simple algebras (local theory) / On work of Macdonald and $L^2(G/B)$ for a $p$-adic group / Character formulas for $SL_2$ / Characters of finite Chevalley groups / On the discrete series for Chevalley groups / The Steinberg character as a true character / Harmonic analysis on trees / Whittaker models for admissible representations of reductive $p$-adic split groups / Calvin C. Moore -- V. S. Varadarajan -- Sigurdur Helgason -- Robert J. Blattner -- Harish-Chandra -- Harry Furstenberg -- L. Pukanszky -- Adam Kleppner and Ronald L. Lipsman -- Joseph A. Wolf and Calvin C. Moore -- J. Brezin -- Roger Howe -- H. Rossi and M. Vergne -- A. W. Knapp -- Nolan R. Wallach -- Kenneth Johnson -- Takeshi Hirai -- J. Lepowsky -- P. C. Trombi -- Joseph A. Wolf -- Joseph A. Wolf -- Leon Ehrenpreis -- Charles Fefferman -- Lars-�Ake Lindahl -- H. Lee Michelson -- Richard Askey -- M. Flensted-Jensen -- Stephen Gelbart -- Kenneth I. Gross and Ray A. Kunze -- Tom Koornwinder -- Willard Miller, Jr. -- R. Strichartz -- G. B. Folland -- E. M. Stein -- Ronald R. Coifman and Guido Weiss -- Pierre Eymard -- Roger Howe -- Herv�e Jacquet -- Allan J. Silberger -- P. J. Sally, Jr. -- T. A. Springer -- Paul G�erardin -- W. Casselman -- P. Cartier -- Fran�cois Rodier -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0385001 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0409730 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0346429 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0341529 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0340486 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0352328 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0333077 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0333065 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0333072 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/9938 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0338264 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0338268 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0338266 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/9937 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0340480 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0404529 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0333073 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0335690 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0369620 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0369621 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0344379 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0419770 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0333602 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0361629 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0340934 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0346430 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0344380 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0344381 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0346211 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0335897 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0344806 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0344700 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0344701 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0340967 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0333064 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0338278 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0352056 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0338282 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0338281 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0338150 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0367118 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0338273 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0338272 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0354942
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821893128 (online)
Locally compact groups.
Lie groups.
Functions, Special.
Harmonic analysis.
QA387 / .S94 1972
512/.55
"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 / The theory of characters and the discrete series for semisimple Lie groups / Functions on symmetric spaces / Quantization and representation theory / Harmonic analysis on reductive $p$-adic groups / Boundary theory and stochastic processes on homogeneous spaces / The primitive ideal space of solvable Lie groups / Group extensions and the Plancherel formula / Square-integrable representations of nilpotent groups / Mackey's little group method and $L^2$ of compact homogeneous spaces / On the spectrum of a compact solvmanifold / 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 $G$ / Determination of intertwining operators / Kostant's $P^\gamma $ and $R^\gamma $ matrices and intertwining integrals / On an exceptional series of representations / Explicit form of the characters of discrete series representations of semisimple Lie groups / The subquotient theorem and some applications / On the continuous spectrum for a semisimple Lie group / The spectrum of a reductive Lie group / Geometric realizations of representations of reductive Lie groups / The use of partial differential equations for the study of group representations / Some remarks on boundary behavior of analytic functions / Boundary behavior of Poisson integrals / Generalized Poisson integrals and their boundary behavior / Refinements of Abel summability for Jacobi series / Spherical functions on rank one symmetric spaces and generalizations / Bessel functions, representation theory, and automorphic functions / Generalized Bessel transforms and unitary representations / Explicit formulas for special functions related to symmetric spaces / Lie algebras and generalizations of hypergeometric functions / A noncompact analogue of spherical harmonics / Subelliptic operators on the Heisenberg group / Singular integrals related to nilpotent groups and $\bar \partial $\ estimates / Operators transferred by representations of an amenable group / Invariant means and unitary representations / Two conjectures about reductive $p$-adic groups / Zeta functions of simple algebras (local theory) / On work of Macdonald and $L^2(G/B)$ for a $p$-adic group / Character formulas for $SL_2$ / Characters of finite Chevalley groups / On the discrete series for Chevalley groups / The Steinberg character as a true character / Harmonic analysis on trees / Whittaker models for admissible representations of reductive $p$-adic split groups / Calvin C. Moore -- V. S. Varadarajan -- Sigurdur Helgason -- Robert J. Blattner -- Harish-Chandra -- Harry Furstenberg -- L. Pukanszky -- Adam Kleppner and Ronald L. Lipsman -- Joseph A. Wolf and Calvin C. Moore -- J. Brezin -- Roger Howe -- H. Rossi and M. Vergne -- A. W. Knapp -- Nolan R. Wallach -- Kenneth Johnson -- Takeshi Hirai -- J. Lepowsky -- P. C. Trombi -- Joseph A. Wolf -- Joseph A. Wolf -- Leon Ehrenpreis -- Charles Fefferman -- Lars-�Ake Lindahl -- H. Lee Michelson -- Richard Askey -- M. Flensted-Jensen -- Stephen Gelbart -- Kenneth I. Gross and Ray A. Kunze -- Tom Koornwinder -- Willard Miller, Jr. -- R. Strichartz -- G. B. Folland -- E. M. Stein -- Ronald R. Coifman and Guido Weiss -- Pierre Eymard -- Roger Howe -- Herv�e Jacquet -- Allan J. Silberger -- P. J. Sally, Jr. -- T. A. Springer -- Paul G�erardin -- W. Casselman -- P. Cartier -- Fran�cois Rodier -- http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0385001 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0409730 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0346429 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0341529 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0340486 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0352328 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0333077 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0333065 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0333072 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/9938 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0338264 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0338268 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0338266 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/9937 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0340480 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0404529 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0333073 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0335690 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0369620 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0369621 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0344379 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0419770 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0333602 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0361629 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0340934 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0346430 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0344380 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0344381 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0346211 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0335897 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0344806 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0344700 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0344701 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0340967 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0333064 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0338278 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0352056 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0338282 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0338281 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0338150 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0367118 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0338273 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0338272 http://www.ams.org/pspum/026 http://dx.doi.org/10.1090/pspum/026/0354942
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821893128 (online)
Locally compact groups.
Lie groups.
Functions, Special.
Harmonic analysis.
QA387 / .S94 1972
512/.55