TY - JOUR

T1 - On the problem of recovering the coefficients of series with respect to characters of zero-dimensional groups

AU - Tulone, Francesco

PY - 2006

Y1 - 2006

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10447/9714

M3 - Article

VL - 34, no. 2

SP - 307

EP - 320

JO - Tatra Mountains Mathematical Publications

JF - Tatra Mountains Mathematical Publications

SN - 1210-3195

ER -