Hyperbolic Wavelets and Multiresolution in the Hardy Space of the Upper Half Plane

DOI10.1007/978-1-4614-5341-3_11zbMath1277.30043OpenAlexW142358458MaRDI QIDQ2866155

Margit Pap, Hans G. Feichtinger

Publication date: 13 December 2013

Published in: Blaschke Products and Their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-5341-3_11

zbMATH Keywords

hyperbolic waveletsinterpolation operatormultiresolution on the upper half planeorthogonal rational wavelets

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Approximation by rational functions (41A20) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Other transforms and operators of Fourier type (43A32) Other special orthogonal polynomials and functions (33C47) Hardy spaces (30H10)

Related Items (10)

Nonlinear phase unwinding of functions ⋮ Hyperbolic Wavelets ⋮ Phase unwinding, or invariant subspace decompositions of Hardy spaces ⋮ Construction of Multiresolution Analysis Based on Localized Reproducing Kernels ⋮ Minimal Energy Point Systems on the Unit Circle and the Real Line ⋮ From Frazier-Jawerth characterizations of Besov spaces to wavelets and decomposition spaces ⋮ Tempered homogeneous function spaces, II ⋮ Periodized wavelet packets on bounded subsets of \(\mathbb{R}\) ⋮ Hyperbolic Wavelet Frames and Multiresolution in the Weighted Bergman Spaces ⋮ Discrete orthogonality of the analytic wavelets in the Hardy space of the upper half plane

Cites Work

• Banach spaces related to integrable group representations and their atomic decompositions. I
• Hyperbolic wavelets and multiresolution in \(H^{2}(\mathbb{T})\)
• Orthonormal basis functions for continuous-time systems and \(L_p\) convergence
• A theory for multiresolution signal decomposition: the wavelet representation
• Intrinsic mono-component decomposition of functions: An advance of Fourier theory
• Orthonormal bases of compactly supported wavelets
• BIORTHOGONAL SYSTEMS OF RATIONAL FUNCTIONS AND BEST APPROXIMATION OF THE CAUCHY KERNEL ON THE REAL AXIS
• A Construction of Rational Wavelets and Frames in Hardy--Sobolev Spaces With Applications to System Modeling
• Identification of rational approximate models in H/sup /spl infin// using generalized orthonormal basis
• Continuous and Discrete Wavelet Transforms
• Robust identification in the disc algebra using rational wavelets and orthonormal basis functions
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