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Kurzweil-Henstock type integral in fourier analysis on compact zero-dimensional group Cover

Kurzweil-Henstock type integral in fourier analysis on compact zero-dimensional group

Open Access
|Nov 2012

References

  1. [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. [2] BOKAEV, N. A-SKVORTSOV, V.: Generalization of uniqueness theorem for series in multiplicative system, Vestnik Moskov. Univ. Ser. I Mat. Mekh. 1987 (1987), 11-15; Engl. transl. in Moscow Univ. Math. Bull. 42 (1987), 11-16.
  3. [3] GOLUBOV, B.-EFIMOV, A.-SKVORTSOV, V.:Walsh Series and Transforms. Theory and Applications. Kluwer Acad. Publ., Dordrecht, 1991.10.1007/978-94-011-3288-6
  4. [4] OSTASZEWSKI, K. M.: Henstock Integration in the Plane, in: Mem. Amer. Math. Soc., Vol. 63, no. 353, AMS, Providence, RI, 1986.10.1090/memo/0353
  5. [5] SKVORTSOV, V.-KOROLEVA, M. P.: Series in multiplicative systems convergent to Denjoy-integrable functions, Mat. Sb. 186 (1995), 129-150; Engl. transl. Sb. Math. 186 (1995), 1821-1842.
  6. [6] SKVORTSOV, V.-TULONE, F.: Perron type integral on compact zero-dimensional Abelian groups, Vestnik Moskov. Univ. Ser. I Mat. Mekh. 63 (2008), 37-42; Engl. transl. Moscow Univ. Math. Bull. 63 (2008), 119-124.
  7. [7] SKVORTSOV, V.-TULONE, F.: Kurzweil-Henstock type integral on zero-dimensional group and some of its applications, Czechoslovak Math. J. 58 (2008), 1167-1183.10.1007/s10587-008-0077-9
  8. [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.
DOI: https://doi.org/10.2478/v10127-009-0046-1 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195
Language: English
Page range: 41 - 51
Published on: Nov 12, 2012
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2012 Valentin Skvortsov, Francesco Tulone, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons License.