Integration of functions ranging in complex Riesz space and some applications in harmonic analysis

Francesco Tulone; Valentin Skvortsov; null Boccuto

Integration of functions ranging in complex Riesz space and some applications in harmonic analysis

Francesco Tulone, Valentin Skvortsov, Boccuto

Matematica e Informatica

Risultato della ricerca: Article › peer review

4 Citazioni (Scopus)

Abstract

The theory of HenstockâKurzweil integral is generalized to the case of functions ranging in complex Riesz space R and defined on any zero-dimensional compact Abelian group. The constructed integral is used to solve the problem of recovering the R-valued coefficients of series in systems of characters of these groups by using generalized Fourier formulas.

Lingua originale	English
pagine (da-a)	25-37
Numero di pagine	13
Rivista	MATHEMATICAL NOTES
Volume	98
Stato di pubblicazione	Published - 2015

All Science Journal Classification (ASJC) codes

???subjectarea.asjc.2600.2600???

Altri file e collegamenti

Cita questo

@article{cdadbb40fdcf4ed1b4e06289daab6702,

title = "Integration of functions ranging in complex Riesz space and some applications in harmonic analysis",

abstract = "The theory of Henstock{\^a}Kurzweil integral is generalized to the case of functions ranging in complex Riesz space R and defined on any zero-dimensional compact Abelian group. The constructed integral is used to solve the problem of recovering the R-valued coefficients of series in systems of characters of these groups by using generalized Fourier formulas.",

keywords = "Henstock{\^a}Kurzweil integral, Mathematics (all), complex Riesz space, group characters, zero-dimensional compact Abelian group, Henstock{\^a}Kurzweil integral, Mathematics (all), complex Riesz space, group characters, zero-dimensional compact Abelian group",

author = "Francesco Tulone and Valentin Skvortsov and Boccuto",

year = "2015",

language = "English",

volume = "98",

pages = "25--37",

journal = "MATHEMATICAL NOTES",

issn = "1067-9073",

}

TY - JOUR

T1 - Integration of functions ranging in complex Riesz space and some applications in harmonic analysis

AU - Tulone, Francesco

AU - Skvortsov, Valentin

AU - Boccuto, null

PY - 2015

Y1 - 2015

N2 - The theory of HenstockâKurzweil integral is generalized to the case of functions ranging in complex Riesz space R and defined on any zero-dimensional compact Abelian group. The constructed integral is used to solve the problem of recovering the R-valued coefficients of series in systems of characters of these groups by using generalized Fourier formulas.

AB - The theory of HenstockâKurzweil integral is generalized to the case of functions ranging in complex Riesz space R and defined on any zero-dimensional compact Abelian group. The constructed integral is used to solve the problem of recovering the R-valued coefficients of series in systems of characters of these groups by using generalized Fourier formulas.

KW - HenstockâKurzweil integral

KW - Mathematics (all)

KW - complex Riesz space

KW - group characters

KW - zero-dimensional compact Abelian group

KW - HenstockâKurzweil integral

KW - Mathematics (all)

KW - complex Riesz space

KW - group characters

KW - zero-dimensional compact Abelian group

UR - http://hdl.handle.net/10447/254959

UR - http://www.kluweronline.com/issn/0001-4346

M3 - Article

SN - 1067-9073

VL - 98

SP - 25

EP - 37

JO - MATHEMATICAL NOTES

JF - MATHEMATICAL NOTES

ER -

Integration of functions ranging in complex Riesz space and some applications in harmonic analysis

Abstract

All Science Journal Classification (ASJC) codes

Altri file e collegamenti

Fingerprint

Cita questo