The fourier transform on semisimple lie groups of real rank one

Paul J. Sally; Garth Warner

doi:10.1007/bf02392034

The fourier transform on semisimple lie groups of real rank one

Acta Mathematica ◽

10.1007/bf02392034 ◽

1973 ◽

Vol 131 (0) ◽

pp. 1-26 ◽

Cited By ~ 13

Author(s):

Paul J. Sally ◽

Garth Warner

Keyword(s):

Fourier Transform ◽

Lie Groups ◽

Real Rank ◽

Semisimple Lie Groups ◽

Rank One ◽

The Fourier Transform

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Harmonic analysis of tempered distributions on semisimple Lie groups of real rank one

Representation Theory and Harmonic Analysis on Semisimple Lie Groups - Mathematical Surveys and Monographs ◽

10.1090/surv/031/02 ◽

1989 ◽

pp. 13-100 ◽

Cited By ~ 2

Author(s):

James Arthur

Keyword(s):

Harmonic Analysis ◽

Lie Groups ◽

Real Rank ◽

Semisimple Lie Groups ◽

Tempered Distributions ◽

Rank One

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The embeddings of the discrete series in the principal series for semisimple Lie groups of real rank one

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1980-0580893-x ◽

1980 ◽

Vol 261 (2) ◽

pp. 303-303 ◽

Cited By ~ 7

Author(s):

M. Welleda Baldoni Silva

Keyword(s):

Lie Groups ◽

Discrete Series ◽

Principal Series ◽

Real Rank ◽

Semisimple Lie Groups ◽

Rank One

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The Embeddings of the Discrete Series in the Principal Series for Semisimple Lie Groups of Real Rank One

Transactions of the American Mathematical Society ◽

10.2307/1998370 ◽

1980 ◽

Vol 261 (2) ◽

pp. 303 ◽

Cited By ~ 1

Author(s):

M. Welleda ◽

Baldoni Silva

Keyword(s):

Lie Groups ◽

Discrete Series ◽

Principal Series ◽

Real Rank ◽

Semisimple Lie Groups ◽

Rank One

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Fourier transform of $L^{p}$ on real rank 1 semisimple Lie groups

Journal of the Mathematical Society of Japan ◽

10.2969/jmsj/03440561 ◽

1982 ◽

Vol 34 (4) ◽

pp. 561-579 ◽

Cited By ~ 2

Author(s):

Takeshi KAWAZOE

Keyword(s):

Fourier Transform ◽

Lie Groups ◽

Real Rank ◽

Semisimple Lie Groups

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Hardy spaces and maximal operators on real rank one semisimple Lie groups, I

Tohoku Mathematical Journal ◽

10.2748/tmj/1178224654 ◽

2000 ◽

Vol 52 (1) ◽

pp. 1-18 ◽

Cited By ~ 2

Author(s):

Takeshi Kawazoe

Keyword(s):

Lie Groups ◽

Hardy Spaces ◽

Maximal Operators ◽

Real Rank ◽

Semisimple Lie Groups ◽

Rank One

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Some properties of the Fourier-transform on semisimple Lie Groups. III.

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1959-0102755-3 ◽

1959 ◽

Vol 90 (3) ◽

pp. 431-431

Author(s):

L. Ehrenpreis ◽

F. I. Mautner

Keyword(s):

Fourier Transform ◽

Lie Groups ◽

Semisimple Lie Groups ◽

The Fourier Transform

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Fourier inversion for semisimple Lie groups of real rank one

Bulletin of the American Mathematical Society ◽

10.1090/s0002-9904-1972-12944-6 ◽

1972 ◽

Vol 78 (2) ◽

pp. 251-255 ◽

Cited By ~ 2

Author(s):

P. J. Sally Jr. ◽

Garth Warner

Keyword(s):

Lie Groups ◽

Real Rank ◽

Semisimple Lie Groups ◽

Fourier Inversion ◽

Rank One

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Absence of two Paley–Wiener properties for semisimple Lie groups of real rank one

Russian Journal of Mathematical Physics ◽

10.1134/s1061920816020138 ◽

2016 ◽

Vol 23 (2) ◽

pp. 281-282

Author(s):

A. I. Shtern

Keyword(s):

Lie Groups ◽

Real Rank ◽

Semisimple Lie Groups ◽

Rank One

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Some Properties of the Fourier-Transform on Semisimple Lie Groups. III

Transactions of the American Mathematical Society ◽

10.2307/1993181 ◽

1959 ◽

Vol 90 (3) ◽

pp. 431 ◽

Cited By ~ 1

Author(s):

L. Ehrenpreis ◽

F. I. Mautner

Keyword(s):

Fourier Transform ◽

Lie Groups ◽

Semisimple Lie Groups ◽

The Fourier Transform

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Restriction to symmetric subgroups of unitary representations of rank one semisimple Lie groups

Mathematische Zeitschrift ◽

10.1007/s00209-016-1614-0 ◽

2016 ◽

Vol 283 (1-2) ◽

pp. 629-647 ◽

Cited By ~ 1

Author(s):

B. Speh ◽

G. Zhang

Keyword(s):

Lie Groups ◽

Unitary Representations ◽

Semisimple Lie Groups ◽

Rank One ◽

Symmetric Subgroups

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