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

A. Boccuto; V. A. Skvortsov

doi:rae/1149860215

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Home > Journals > Real Anal. Exchange > Volume 29 > Issue 1 > Article

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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A. Boccuto,¹ V. A. Skvortsov²
¹Department of Matematics and Informatics, Universita di Perugia
²Department of Mathematics, Moscow State University

Real Anal. Exchange 29(1): 419-439 (2003-2004).

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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.

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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.

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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

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Real Anal. Exchange

Vol.29 • No. 1 • 2003-2004

Michigan State University Press

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

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