6533b861fe1ef96bd12c5607

RESEARCH PRODUCT

On the problem of recovering the coefficients of series with respect to characters of zero-dimensional groups

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description

It is proved that if a series with respect to the characters of abelian compact zero-dimensional group is convergent everywhere except, possibly, a countable number of points, then the coefficients of this series can be recovered from its sum by generalized Fourier formulas in which a Henstock-Kurzweil type integral is used.