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.
|Rivista||Tatra Mountains Mathematical Publications|
|Volume||34, no. 2|
|Stato di pubblicazione||Published - 2006|