REAL

Henstock-Kurzweil type integrals in P-adic harmonic analysis

Skvortsov, V. (2004) Henstock-Kurzweil type integrals in P-adic harmonic analysis. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 20 (2). pp. 207-224. ISSN 0866-0174

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Abstract

Some recent results related to the P-adic derivatives and integrals are surveyed. Applications of the Henstock-Kurzweil P-integral and the Perron P-integral to the problem of recovering the coefficients of series with respect to the Vilenkin system and the Haar system (both in one dimension and in higher dimensions) are discussed. The case of the continual analogue of the Vilenkin system is also considered.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: Zsolt Baráth
Date Deposited: 31 Jan 2024 11:27
Last Modified: 31 Jan 2024 11:27
URI: http://real.mtak.hu/id/eprint/186817

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