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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Uniformly bounded representations for the Lorentz groups


Author: Edward N. Wilson
Journal: Trans. Amer. Math. Soc. 166 (1972), 431-438
MSC: Primary 22E43
MathSciNet review: 0293011
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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.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1972-0293011-8
PII: S 0002-9947(1972)0293011-8
Keywords: Lorentz groups, uniformly bounded representations, multiplicative analysis of Fourier transform, Mellin transform, gamma function, analytic continuation of operators
Article copyright: © Copyright 1972 American Mathematical Society