Wavelet representations and Fock space on positive matrices

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dc.creatorJorgensen, P. E. T.
dc.creatorKribs, D. W.
dc.date2002-04-02
dc.date.accessioned2026-07-07T04:47:24Z
dc.date.available2026-07-07T04:47:24Z
dc.descriptionWe show that every biorthogonal wavelet determines a representation by operators on Hilbert space satisfying simple identities, which captures the established relationship between orthogonal wavelets and Cuntz-algebra representations in that special case. Each of these representations is shown to have tractable finite-dimensional co-invariant doubly-cyclic subspaces. Further, motivated by these representations, we introduce a general Fock-space Hilbert space construction which yields creation operators containing the Cuntz--Toeplitz isometries as a special case.
dc.description32 pages, LaTeX ("amsart" document class), one EPS graphic file used for shading, accepted March 2002 for J. Funct. Anal
dc.identifierhttps://arxiv.org/abs/math/0204034
dc.identifierhttp://arxiv.org/abs/math/0204034
dc.identifierJ. Funct. Anal. 197 (2003), 526-559
dc.identifierdoi:10.1016/S0022-1236(02)00026-5
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63702
dc.subjectClassical Analysis and ODEs
dc.subjectOperator Algebras
dc.subject[2000] 42C40, 42A16, 43A65, 42A65
dc.titleWavelet representations and Fock space on positive matrices
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