Covariant Transform

Dedicated to the memory of Cora Sadosky The paper develops theory of covariant transform, which is inspired by the wavelet construction. It was observed that many interesting types of wavelets (or coherent states) arise from group representations which are not square integrable or vacuum vectors whi...

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Published in:Journal of physics. Conference series 2011-03, Vol.284 (1), p.012038-10
Main Author: Kisil, Vladimir V
Format: Article
Language:English
Subjects:
Banach spaces
Calculus
Coherence
Construction
Mathematical analysis
Physics
Representations
Transforms
Vectors (mathematics)
Wavelet
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description Dedicated to the memory of Cora Sadosky The paper develops theory of covariant transform, which is inspired by the wavelet construction. It was observed that many interesting types of wavelets (or coherent states) arise from group representations which are not square integrable or vacuum vectors which are not admissible. Covariant transform extends an applicability of the popular wavelets construction to classic examples like the Hardy space H2, Banach spaces, covariant functional calculus and many others.
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subjects Banach spaces
Calculus
Coherence
Construction
Mathematical analysis
Physics
Representations
Transforms
Vectors (mathematics)
Wavelet
title Covariant Transform
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