Wavelet representations and Fock space on positive matrices
نویسندگان
چکیده
منابع مشابه
2 00 2 Wavelet Representations and Fock Space on Positive Matrices
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...
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We outline a computational model of syntactic language processing based on Smolensky’s Fock space representations of symbolic expressions using spherical wave functions. Symbolic computation, regarded as nonlinear operators acting upon these waves, provides a discrete sequence of training patterns that could be used to solve the inverse problem of neural field theories in order to determine the...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2003
ISSN: 0022-1236
DOI: 10.1016/s0022-1236(02)00026-5