The \(A\)-integral for Riemann-measurable vector-valued functions

DOI10.1007/s40879-024-00751-3MaRDI QIDQ6564866

Kirill M. Naralenkov

Publication date: 1 July 2024

Published in: European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

\(A\)-integralBirkhoff integral\(A\)-Riemann integralconstant gaugeRiemann measurable function

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Vector-valued measures and integration (46G10) Denjoy and Perron integrals, other special integrals (26A39)

Cites Work

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• A Lusin type measurability property for vector-valued functions
• On the integration of Riemann-measurable vector-valued functions
• The \(A\) -integral and its application in the study of P. L. Ul'yanov and other matematicians
• Generalized Fourier integrals and series
• Martingale sequences in the theory of orthogonal series
• Integration of Banach-valued functions and Haar series with Banach-valued coefficients
• On the reconstruction of the coefficients of series from some orthogonal systems of functions.
• On the limits of the generalization of the Kolmogorov integral
• Several comments on the Henstock-Kurzweil and McShane integrals of vector-valued functions
• A Riemann-type definition of Kunugi's integral
• $ A$-integrable martingale sequences and Walsh series
• On conjugate functions.
• A martingale closure theorem for \(A\)-integrable martingale sequences

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