Uniformly bounded representations for the Lorentz groups

Wilson, Edward N.

doi:10.1090/S0002-9947-1972-0293011-8

Uniformly bounded representations for the Lorentz groups
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by Edward N. Wilson PDF

Trans. Amer. Math. Soc. 166 (1972), 431-438 Request permission

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.

References

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Introduction to the theory of Fourier integrals