Henstock-Kurzweil type integration of Riesz-space-valued functions and applications to Walsh series

DOI10.14321/REALANALEXCH.29.1.0419zbMath1067.28009OpenAlexW1855892378MaRDI QIDQ1766458

Valentin A. Skvortsov, Antonio Boccuto

Publication date: 7 March 2005

Published in: Real Analysis Exchange (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rae/1149860215

zbMATH Keywords

Walsh seriesinterval functionsRiesz spacesfundamental theorem of calculusderivation basisHenstock-Kurzweil integration

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10) Denjoy and Perron integrals, other special integrals (26A39) Set functions, measures and integrals with values in ordered spaces (28B15) Uniqueness and localization for orthogonal series (42C25)

Related Items (3)

Integration of functions ranging in complex Riesz space and some applications in harmonic analysis ⋮ On the Henstock-Kurzweil integral for Riesz-space-valued functions on time scales ⋮ A Hake-Type Theorem for Integrals with Respect to Abstract Derivation Bases in the Riesz Space Setting

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