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2003-2004 Henstock-Kurzweil type integration of Riesz-space-valued functions and applications to Walsh series.
A. Boccuto, V. A. Skvortsov
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Real Anal. Exchange 29(1): 419-439 (2003-2004).

Abstract

Some versions of Henstock-Kurzweil integral with respect to different derivation bases for functions with values in Dedekind complete Riesz spaces are studied. Fundamental Theorem of Calculus are proved for these integrals and an application to Walsh series is given.

Citation

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A. Boccuto. V. A. Skvortsov. "Henstock-Kurzweil type integration of Riesz-space-valued functions and applications to Walsh series.." Real Anal. Exchange 29 (1) 419 - 439, 2003-2004.

Information

Published: 2003-2004
First available in Project Euclid: 9 June 2006

zbMATH: 1067.28009
MathSciNet: MR2063084

Subjects:
Primary: 28A39 , 28B05 , 28B15 , 42C10 , 42C25 , 46G10

Keywords: derivation basis , fundamental theorem of calculus , Henstock-Kurzweil integration , interval functions , Riesz spaces , Walsh series

Rights: Copyright © 2003 Michigan State University Press

Vol.29 • No. 1 • 2003-2004
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