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- Title
ASYMPTOTIC K-SUPPORT AND RESTRICTIONS OF REPRESENTATIONS.
- Abstract
The article discusses a mathematical proof of mathematician T. Kobayashi’s theorem of asymptotic behavior of the Lie group K and restrictions of representation theory. It states that the proof is based on natural numbers of the wavefront set of a distribution on K in terms of asymptotic behavior of its Fourier coefficients. As stated, the wavefront set is a fundamental notion in the microlocal analysis of distributions. It also talks about the usage of the theory of hyperfunctions in the proof.
- Subjects
LIE groups; MATHEMATICAL proofs; KOBAYASHI, T.; NATURAL numbers; FOURIER analysis; MATHEMATICAL notation; MICROLOCAL analysis; HYPERFUNCTIONS
- Publication
Representation Theory, 2009, Vol 13, p460
- ISSN
1088-4165
- Publication type
Article
- DOI
10.1090/S1088-4165-09-00362-8