Nonlinear Approximation with Local Fourier Bases
Copyright policy )Nonlinear Approximation with Local Fourier Bases
It is shown that local Fourier bases are unconditional bases for the modulation spaces on \(R\), including the Bessel potential spaces and the Segal algebra \(S_0\). As a consequence, the abstract function spaces that are defined by the approximation properties with respect to a local Fourier basis, are precisely the modulation spaces.
- Jordan University of Science and Technology Jordan
- University of Vienna Austria
- University of Connecticut United States
1010 Mathematics, 1010 Mathematik, local Fourier bases, Wilson basis, General harmonic expansions, frames, Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics, Approximation by other special function classes, nonlinear approximation, Schur's test, modulation spaces
1010 Mathematics, 1010 Mathematik, local Fourier bases, Wilson basis, General harmonic expansions, frames, Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics, Approximation by other special function classes, nonlinear approximation, Schur's test, modulation spaces
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