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

Francesco Tulone

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

Matematica e Informatica

Risultato della ricerca: Article › peer review

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.

Lingua originale	English
pagine (da-a)	307-320
Rivista	Tatra Mountains Mathematical Publications
Volume	34, no. 2
Stato di pubblicazione	Published - 2006

Accesso al documento

OA Link

Fingerprint Entra nei temi di ricerca di 'On the problem of recovering the coefficients of series with respect to characters of zero-dimensional groups'. Insieme formano una fingerprint unica.

Cita questo

@article{0a6c40e90a394c818da7e2d26895bd22,

title = "On the problem of recovering the coefficients of series with respect to characters of zero-dimensional groups",

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.",

author = "Francesco Tulone",

year = "2006",

language = "English",

volume = "34, no. 2",

pages = "307--320",

journal = "Tatra Mountains Mathematical Publications",

issn = "1210-3195",

publisher = "Versita",

}

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 -