Kisil, VV orcid.org/0000-0002-6593-6147 (2010) Wavelets Beyond Admissibility. In: Ruzhansky, M and Wirth, J, (eds.) Progress in Analysis and Its Applications - Proceedings of the 7th International ISAAC Congress. 7th International ISAAC Congress, 13-18 Jul 2009, Imperial College London, UK. World Scientific Publishing , pp. 219-225. ISBN 978-981-4313-16-2
Abstract
The purpose of this paper is to articulate an observation that many interesting type of wavelets (or coherent states) arise from group representations which are not square integrable or vacuum vectors which are not admissible. This extends an applicability of the popular wavelets construction to classic examples like the Hardy space.
Metadata
Item Type: | Proceedings Paper |
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Authors/Creators: |
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Editors: |
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Keywords: | Wavelets; coherent states; group representations; Hardy space; functional calculus; Berezin calculus; Radon transform; Möbius map; maximal function; affine group; special linear group; numerical range |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 21 May 2019 14:40 |
Last Modified: | 21 May 2019 14:40 |
Published Version: | http://dx.doi.org/10.1142/9789814313179_0029 |
Status: | Published |
Publisher: | World Scientific Publishing |
Identification Number: | 10.1142/9789814313179_0029 |
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Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:92832 |