scientific article; zbMATH DE number 2151325

zbMath1079.46046arXivmath/0212359MaRDI QIDQ4660803

Palle E. T. Jorgensen

Publication date: 4 April 2005

Full work available at URL: https://arxiv.org/abs/math/0212359

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zbMATH Keywords

waveletsquadrature mirror filterorthogonal expansionisometry in Hilbert space

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Abstract operator algebras on Hilbert spaces (47L30) Applications of selfadjoint operator algebras to physics (46L60) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Spline approximation (41A15) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Decomposition theory for (C^*)-algebras (46L45) Completeness of sets of functions in one variable harmonic analysis (42A65)

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