We introduce a path integral of Henstock type and use it to obtain inversion formulas for multiplicative integral transformations. The problem considered is a generalization of the problem of reconstruction of coefficients of a convergent orthogonal series from its sum.
SKVORTSOV V, TULONE F (2005). P-adic Henstock integral in the problem of representation of functions by multiplicative transforms. VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 71(3), 41-44.
P-adic Henstock integral in the problem of representation of functions by multiplicative transforms
TULONE, Francesco
2005-01-01
Abstract
We introduce a path integral of Henstock type and use it to obtain inversion formulas for multiplicative integral transformations. The problem considered is a generalization of the problem of reconstruction of coefficients of a convergent orthogonal series from its sum.
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