Properties of expansion systems similar to orthogonal ones

DOI10.1070/IM1998V062N05ABEH000215zbMath0924.42024OpenAlexW2061203570MaRDI QIDQ4236272

T. P. Lukashenko

Publication date: 22 March 1999

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

Full work available at URL: https://doi.org/10.1070/im1998v062n05abeh000215

zbMATH Keywords

almost everywhere convergenceMen'shov-Rademacher theoremParseval's identityRiesz-Fisher theoremBessel's identityexpansions in a Hilbert spaceGabor wavelet systemGrossmann-Morlet wavelet transform

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15)

Related Items (3)

The condition of almost everywhere convergence for a functional series with a weak analogue of the orthonormality property ⋮ On isomorphism of reproducing kernel Hilbert spaces ⋮ Analogs of the Kolmogorov-Seliverstov-Plessner theorem for nonorthogonal function systems

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