Orthogonalization in Clifford Hilbert modules and applications

DOI10.1007/s43037-023-00312-yzbMath1527.30035arXiv2103.09416OpenAlexW4388069505MaRDI QIDQ6069935

Jinxun Wang, Tao Qian

Publication date: 17 November 2023

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.09416

zbMATH Keywords

Clifford algebraTakenaka-Malmquist systemmonogenic Hardy space

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Clifford algebras, spinors (15A66)

Cites Work

• Unnamed Item
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• Approximation of monogenic functions by higher order Szegő kernels on the unit ball and half space
• Adaptive decomposition by weighted inner functions: a generalization of Fourier series
• Adaptative decomposition: the case of the Drury-Arveson space
• Gelfand-Tsetlin bases for spherical monogenics in dimension 3
• Some remarks on greedy algorithms
• MIMO frequency domain system identification using matrix-valued orthonormal functions
• Positive-instantaneous frequency and approximation
• Adaptive Fourier series---a variation of greedy algorithm
• Matching pursuits among shifted Cauchy kernels in higher-dimensional spaces
• Hilbert transforms on the sphere with the Clifford algebra setting
• The Gelfand-Tsetlin bases for Hodge-de Rham systems in Euclidean spaces
• Adaptive orthonormal systems for matrix-valued functions
• Gel'fand-Tsetlin bases of orthogonal polynomials in Hermitean Clifford analysis
• Greedy Approximation
• Adaptive Fourier decomposition of functions in quaternionic Hardy spaces
• Intrinsic mono-component decomposition of functions: An advance of Fourier theory
• Approximation of functions by higher order Szegö kernels I. Complex variable cases
• Two‐dimensional adaptive Fourier decomposition