Kurzweil-Henstock type integral on zero-dimensional group and some of its applications
Valentin Skvortsov; Francesco Tulone
Czechoslovak Mathematical Journal (2008)
- Volume: 58, Issue: 4, page 1167-1183
- ISSN: 0011-4642
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topSkvortsov, Valentin, and Tulone, Francesco. "Kurzweil-Henstock type integral on zero-dimensional group and some of its applications." Czechoslovak Mathematical Journal 58.4 (2008): 1167-1183. <http://eudml.org/doc/37894>.
@article{Skvortsov2008,
abstract = {A Kurzweil-Henstock type integral on a zero-dimensional abelian group is used to recover by generalized Fourier formulas the coefficients of the series with respect to the characters of such groups, in the compact case, and to obtain an inversion formula for multiplicative integral transforms, in the locally compact case.},
author = {Skvortsov, Valentin, Tulone, Francesco},
journal = {Czechoslovak Mathematical Journal},
keywords = {Kurzweil-Henstock integral; derivation basis; locally compact zero-dimensional abelian group; characters of a group; multiplicative integral transform; inversion formula; Kurzweil-Henstock integral; derivation basis},
language = {eng},
number = {4},
pages = {1167-1183},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Kurzweil-Henstock type integral on zero-dimensional group and some of its applications},
url = {http://eudml.org/doc/37894},
volume = {58},
year = {2008},
}
TY - JOUR
AU - Skvortsov, Valentin
AU - Tulone, Francesco
TI - Kurzweil-Henstock type integral on zero-dimensional group and some of its applications
JO - Czechoslovak Mathematical Journal
PY - 2008
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 58
IS - 4
SP - 1167
EP - 1183
AB - A Kurzweil-Henstock type integral on a zero-dimensional abelian group is used to recover by generalized Fourier formulas the coefficients of the series with respect to the characters of such groups, in the compact case, and to obtain an inversion formula for multiplicative integral transforms, in the locally compact case.
LA - eng
KW - Kurzweil-Henstock integral; derivation basis; locally compact zero-dimensional abelian group; characters of a group; multiplicative integral transform; inversion formula; Kurzweil-Henstock integral; derivation basis
UR - http://eudml.org/doc/37894
ER -
References
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- Skvortsov, V. A., Tulone, F., 10.1016/j.jmaa.2005.09.053, J. Math. Anal. Appl. 322 (2006), 621-628. (2006) Zbl1129.43300MR2250603DOI10.1016/j.jmaa.2005.09.053
- Skvortsov, V. A., Tulone, F., -adic Henstock integral in the theory of series with respect to characters of zero-dimensional groups, Vestnik Moskov. Gos. Univ. Ser. Mat. Mekh. 1 (2006), 25-29 Engl. transl. Moscow Univ. Math. Bull. 61 (2006), 27-31. (2006) MR2255051
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- Thomson, B. S., Derivates of interval functions, Memoirs of the AMS, Providence 93 (1991). (1991) Zbl0734.26003MR1078198
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