Wavelets Beyond Admissibility

Details Wavelets Beyond Admissibility Wavelets Beyond Admissibility

2009-11-24

arxiv.org/abs/0911.4701v1

in "Progress in Analysis and Its Applications - Proceedings of the 7th International ISAAC Congress'', (M. Ruzhansky, J. Wirth

Mathematics

Functional Analysis

7 pages, LaTeX2e

Scientific paper

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. Keywords: Wavelets, coherent states, group representations, Hardy space, functional calculus, Berezin calculus, Radon transform, Moebius map, maximal function, affine group, special linear group, numerical range.

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