Journal article
Wavelet representations and Fock space on positive matrices
Journal of functional analysis, Vol.197(2), pp.526-559
2003
DOI: 10.1016/S0022-1236(02)00026-5
Abstract
We 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.
Details
- Title: Subtitle
- Wavelet representations and Fock space on positive matrices
- Creators
- P.E.T JorgensenD.W Kribs
- Resource Type
- Journal article
- Publication Details
- Journal of functional analysis, Vol.197(2), pp.526-559
- DOI
- 10.1016/S0022-1236(02)00026-5
- ISSN
- 0022-1236
- eISSN
- 1096-0783
- Publisher
- Elsevier Inc
- Language
- English
- Date published
- 2003
- Academic Unit
- Mathematics
- Record Identifier
- 9983986095402771
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