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.
VA SKVORTSOV, TULONE F (2006). On the problem of recovering the coefficients of series with respect to characters of zero-dimensional groups. TATRA MOUNTAINS MATHEMATICAL PUBLICATIONS, 34, no. 2, 307-320.
On the problem of recovering the coefficients of series with respect to characters of zero-dimensional groups
TULONE, Francesco
2006-01-01
Abstract
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.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
Skv-tul Tatra 2006 (34).pdf
Solo gestori archvio
Dimensione
1.07 MB
Formato
Adobe PDF
|
1.07 MB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.