Uniformly bounded representations for the Lorentz groups-Reference-Cited by-同舟云学术

Uniformly bounded representations for the Lorentz groups

Published:1972 Issue:0 Volume:166 Page:431-438
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Wilson Edward N.

Abstract

A family of uniformly bounded class 1 representations of the Lorentz groups is constructed. This family of representations includes, but is larger than, a similar family of representations constructed by Lipsman. The construction technique relies on a multiplicative analysis of various operators under a Mellin transform.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1972-166-00/S0002-9947-1972-0293011-8/S0002-9947-1972-0293011-8.pdf

Reference5 articles.

1. Harmonic Analysis and the Theory of Probability

2. Uniformly bounded representations and harmonic analysis of the 2×2 real unimodular group;Kunze, R. A.;Amer. J. Math.,1960

3. Uniformly bounded representations. II. Analytic continuation of the principal series of representations of the 𝑛×𝑛 complex unimodular group;Kunze, R. A.;Amer. J. Math.,1961

4. Uniformly bounded representations of the Lorentz groups;Lipsman, Ronald L.;Amer. J. Math.,1969

5. E. C. Titchmarsh, Introduction to the theory of Fourier integrals, 2nd ed., Clarendon Press, Oxford, 1948.

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