Inversion formulae for the integral transform on a locally compact zero-dimensional group
Open Access
|Nov 2012References
- [1] AGAEV, G. N.-VILENKIN, N. YA.-DZHARARLI, G. M.-RUBINSHTEJN, A. I.: Multiplicative System of Functions and Harmonic Analysis on Zero-Dimensional Groups. “Ehlm”, Baku, 1981. (In Russian)
- [2] OSTASZEWSKI, K. M.: Henstock Integration in the Plane, in: Mem. Amer. Math. Soc. Vol. 63, no. 353, AMS, Providence, RI 1986.
- [3] SKVORTSOV, V.-KOROLEVA, M. P.: Series in multiplicative systems convergent to Denjoy-integrable functions, Mat. Sb. 186 (1995), 129-150; Engl. transl. in Sb. Math. 186 (1995), 1821-1842.
- [4] SKVORTSOV, V.-TULONE, F.: Henstock type integral in harmonic analysis on zerodimensional groups, J. Math. Anal. Appl. 322 (2006), 621-628.
- [5] SKVORTSOV, V.-TULONE, F.: Kurzweil-Henstock type integral on zero-dimensional group and some of its applications, Czechoslovak Math. J. 58 (2008), 1167-1183.
- [6] SKVORTSOV, V.-TULONE, F.: Kurzweil-Henstock type integral in Fourier analysis on compact zero-dimensional group, Tatra Mt. Math. Publ. 44 (2009), 41-51.
- [7] THOMSON, B. S.: Derivation bases on the real line. I., II., Real Anal. Exchange 8 (1983), 67-207, 278-442.
- [8] TULONE, F.: Denjoy and P-path integrals on compact groups in an inversion formula for multiplicative transforms, Tatra Mt. Math. Publ. 42 (2008), 27-37.
Language: English
Page range: 53 - 63
Published on: Nov 12, 2012
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 3 times per year
Keywords:
Related subjects:
© 2012 Francesco Tulone, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons License.