Wavelets from Laguerre polynomials and Toeplitz-type operators

DOI10.1007/s00020-011-1907-yzbMath1309.47030arXiv1102.3707OpenAlexW2013915908MaRDI QIDQ429717

Ondrej Hutník

Publication date: 20 June 2012

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.3707

zbMATH Keywords

Toeplitz operatorwaveletLaguerre polynomialoperator algebracontinuous wavelet transformCalderón reproducing formulaadmissibility conditionimproper parameter-dependent integralpoly-analytic Bergman spaces

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Pseudodifferential operators (47G30) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items (16)

Toeplitz operators with homogeneous symbols acting on the poly-Bergman spaces of the upper half-plane ⋮ Translation-invariant operators in reproducing kernel Hilbert spaces ⋮ The affine ensemble: determinantal point processes associated with the \(ax + b\) group ⋮ Sharp rates of convergence for accumulated spectrograms ⋮ Algebra Generated by a Finite Number of Toeplitz Operators with Homogeneous Symbols Acting on the Poly-Bergman Spaces ⋮ On boundedness of Calderón-Toeplitz operators ⋮ On the range of Stockwell transforms ⋮ Toeplitz operators acting on true-poly-Bergman type spaces of the two-dimensional Siegel domain: nilpotent symbols ⋮ Toeplitz operators with homogeneous symbols on polyharmonic spaces ⋮ Polyharmonic Bergman spaces and Bargmann type transforms ⋮ Superframes and polyanalytic wavelets ⋮ Toeplitz localization operators: spectral functions density ⋮ Donoho-Logan large sieve principles for modulation and polyanalytic Fock spaces ⋮ Toeplitz operators with vertical symbols acting on the Poly-Bergman spaces of the upper half-plane. II ⋮ Affine quantum harmonic analysis ⋮ A fractal uncertainty principle for Bergman spaces and analytic wavelets

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