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Bernstein's theorem for compact, connected Lie groups

Published online by Cambridge University Press:  24 October 2008

Garth I. Gaudry  and
Rita Pini
Garth I. Gaudry
Affiliation:
School of Mathematical Sciences, Flinders University of South Australia, Bedford Park, S.A. 5042, Australia
Rita Pini
Affiliation:
Dipartimento di Matematica, Università di Milano, 20133 Milano, Italy
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Extract

In what follows, G will denote a compact, connected Lie group.

Definition. A complex-valued function f ε L2(G) lies in the space A(G) if it can be written in the form

where

The A(G) norm of f is the infimum of all sums (2) with respect to all decompositions (1).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 99 , Issue 2 , March 1986 , pp. 297 - 305
Copyright
Copyright © Cambridge Philosophical Society 1986

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References

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