| Title: |
RECOVERING BANACH-VALUED COEFFICIENTS OF SERIES WITH RESPECT TO CHARACTERS OF ZERO-DIMENSIONAL GROUPS. |
| Authors: |
Skvortsov, Valentin |
| Source: |
Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica; 2019, Vol. 49, p379-397, 19p |
| Subject Terms: |
Abelian groups; Integral functions; Compact groups; Respect; Character; Eisenstein series; Banach spaces |
| Abstract: |
Henstock type integrals for Banach-space-valued functions on zero-dimensional compact abelian group are introduced and used to re- cover, by generalized Fourier formulae, the vector-valued coefficients of series with respect to characters of such a group. The problem of conver- gence of Fourier-Henstock series is also investigated. [ABSTRACT FROM AUTHOR] |
| : |
Copyright of Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica is the property of Eotvos Lorand University, Faculty of Informatics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) |
| Database: |
Complementary Index |