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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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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

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