Properties of a Henstock type integral defined by means of a differential basis generated by P-adic paths ae studied. It is proved that this integral solves the problem of coefficients reconstruction by using generalized Fourier formulas for a series over multiplivative systems.
SKVORTSOV V, TULONE F (2004). Generalized Henstock integrals in the theory of series in multiplicative systems. VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 78, no. 2, 7-11.
Generalized Henstock integrals in the theory of series in multiplicative systems
TULONE, Francesco
2004-01-01
Abstract
Properties of a Henstock type integral defined by means of a differential basis generated by P-adic paths ae studied. It is proved that this integral solves the problem of coefficients reconstruction by using generalized Fourier formulas for a series over multiplivative systems.
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