Integration of functions ranging in complex Riesz space and some applications in harmonic analysis
- Autori: Boccuto, A.; Skvortsov, V.; Tulone, F.
- Anno di pubblicazione: 2015
- Tipologia: Articolo in rivista (Articolo in rivista)
- Parole Chiave: complex Riesz space; group characters; Henstock—Kurzweil integral; zero-dimensional compact Abelian group; Mathematics (all)
- OA Link: http://hdl.handle.net/10447/254959
Abstract
The theory of Henstock—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.