Trigonometric Cesaro bases in the spaces of functions integrable with power weight

DOI10.1007/BF01911333zbMath0518.42010OpenAlexW1758682855MaRDI QIDQ1053915

V. F. Gaposhkin

Publication date: 1982

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01911333

zbMATH Keywords

complete orthonormal systembasisweightminimalAbel basisCesaro bases in Lpcomplete conjugate system

Mathematics Subject Classification ID

Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Summability and absolute summability of Fourier and trigonometric series (42A24) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Related Items (2)

Closed minimal systems in general separable Banach spaces and in \(L^ p\), \(1<p<\infty\) ⋮ Summability of generalized Fourier series and Dirichlet's problem in \(L^ p(d\mu)\) and weighted \(H^ p\)-spaces \((p>1)\)

Cites Work

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• On the summability of generalized Fourier series
• On the multiplicative completion of some incomplete orthonormal systems to bases in \(L^p\), \(1\leq p\infty\)
• On \(\mathrm\text{ Ш}\)-rigidity of groups of order \(p^6\).
• On sets of functions that can be multiplicatively completed
• Expansions in Banach spaces
• The Brauer-Manin Obstruction and III[2]
• On the Multiplicative Completion of Certain Basic Sequences in L p , 1 < p < &#8734
• The multiplicative completion of sets of functions

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