Equivalence of the trigonometric system and its perturbations in the spaces $L^p$ and $C$

DOI10.1070/SM8890zbMath1425.46008OpenAlexW2912621834MaRDI QIDQ4966693

A. M. Sedletskij

Publication date: 27 June 2019

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm8890

zbMATH Keywords

basis Fourier multiplierequivalent systems of functions

Mathematics Subject Classification ID

Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30)

Cites Work

• Equivalence of the trigonometric system and its perturbations in \(L^p(-\pi,\pi)\)
• Asymptotics of the zeros of degenerate hypergeometric functions
• Fourier frames
• Bases of exponents in weighted spaces \(L^{p}(-\pi, \pi)\)
• The excess of sets of complex exponentials
• Biorthogonal expansions of functions in series of exponents on intervals of the real axis
• Some notes on an expansion theorem of Paley and Wiener
• Regularly varying functions
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