Integration of Banach-valued functions and Haar series with Banach-valued coefficients

DOI10.3103/S0027132217010041zbMath1377.42004OpenAlexW2603512139MaRDI QIDQ1676290

Valentin A. Skvortsov

Publication date: 6 November 2017

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0027132217010041

zbMATH Keywords

Fourier-Haar seriesBanach-space-valued functionHenstock type integral

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Denjoy and Perron integrals, other special integrals (26A39)

Cites Work

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• Pointwise convergence of vector-valued Fourier series
• Derivation bases on the real line. I
• Multidimensional dyadic Kurzweil-Henstock- and Perron-type integrals in the theory of Haar and Walsh series
• Quasi-measures, Hausdorff $ p$-measures and Walsh and Haar series
• Henstock integration in the plane
• NOWHERE WEAK DIFFERENTIABILITY OF THE PETTIS INTEGRAL
• \(q\)-concavity and \(q\)-Orlicz property on symmetric sequence spaces

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