Reproducing kernel approximation in weighted Bergman spaces: Algorithm and applications

DOI10.1002/mma.5648zbMath1440.42009OpenAlexW2947792469WikidataQ127806484 ScholiaQ127806484MaRDI QIDQ5240272

Wei Qu, Pei Dang

Publication date: 25 October 2019

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.5648

zbMATH Keywords

system identificationweighted Hardy spacesreproducing kernel Hilbert spacerational orthogonal systempreorthogonal adaptive Fourier decomposition

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Approximation by other special function classes (41A30) Series expansions of functions of one complex variable (30B99)

Related Items (10)

Sparse representation of approximation to identity ⋮ \(n\)-best kernel approximation in reproducing kernel Hilbert spaces ⋮ Algorithm of adaptive Fourier decomposition in H2(ℂ+) ⋮ Sparse representations of random signals ⋮ Adaptive Fourier decomposition‐type sparse representations versus the Karhunen–Loève expansion for decomposing stochastic processes ⋮ A Theory on Non-Constant Frequency Decompositions and Applications ⋮ Reproducing kernel sparse representations in relation to operator equations ⋮ Best kernel approximation in Bergman spaces ⋮ MIMO frequency domain system identification using matrix-valued orthonormal functions ⋮ Adaptive decompositions in monogenic reproducing kernel Hilbert spaces of Paley-Wiener type

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