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...

Full description

Saved in:
Bibliographic Details
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
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1742-6596
1742-6588
1742-6596
DOI:10.1088/1742-6596/284/1/012038