A Direct Integral Decomposition of the Wavelet Representation

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dc.creatorLim, Lek-Heng
dc.creatorPacker, Judith A.
dc.creatorTaylor, Keith F.
dc.date2000-03-11
dc.date2001-12-13
dc.date.accessioned2026-07-07T04:34:16Z
dc.date.available2026-07-07T04:34:16Z
dc.descriptionIn this paper we use the concept of wavelet sets as introduced by X. Dai and D. Larson, to decompose the wavelet representation of the discrete group associated to an arbitrary $n \times n$ integer dilation matrix as a direct integral of irreducible monomial representations. In so doing we generalize a result of F. Martin and A. Valette in which they show that the wavelet representation is weakly equivalent to the regular representation for the Baumslag-Solitar groups.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math/0003067
dc.identifierhttp://arxiv.org/abs/math/0003067
dc.identifierProceedings of the American Mathematical Society, Volume 129, Number 10, October 2001, pp. 3057--3067
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58840
dc.subjectFunctional Analysis
dc.subjectRepresentation Theory
dc.subject46L99; 47N40; 22D40; 22D45; 47D25; 47C05
dc.titleA Direct Integral Decomposition of the Wavelet Representation
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