Bernstein's theorem for compact, connected Lie groups
Published online by Cambridge University Press: 24 October 2008
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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