Analogs of the Kolmogorov-Seliverstov-Plessner theorem for nonorthogonal function systems

DOI10.1007/BF02675794zbMath0970.42019MaRDI QIDQ1581462

T. P. Lukashenko

Publication date: 3 October 2001

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

orthogonal seriestrigonometric seriesLebesgue functionKaczmarz's generalizationKolmogorov-Seliverstov-Plessner theoremorthogonal-like systems

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

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Function Spaces of Logarithmic Smoothness: Embeddings and Characterizations

Cites Work

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• Orthosimilar nonnegative expansion systems
• Generalized expansion systems similar to orthogonal ones
• On convergence and growth of partial sums of Fourier series
• Coefficients with respect to orthogonal-like decomposition systems
• Weitere Bemerkungen über die Konvergenz und Summierbarkeit der Funktionenreihen
• Properties of expansion systems similar to orthogonal ones

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