Convergence of logarithmic means of multiple Walsh-Fourier series

Author:

Gát G.,Goginava U.,Tkebuchava G.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference21 articles.

1. [B,R] Balashov, L. A. and Rubinshtein A. I., Series with Respect to the Walsh System and Their Generalizations, J. Soviet Math., I(1973), 727–763.

2. [E] Edwards, R. E., Fourier Series: a Modern Introduction, vol. 1, Springer-Verlag, New-York, Heidelberg, Berlin 1982.

3. [Ga, GO, Tk] Gát, G., Goginava, U. and Tkebuchava, G., Convergence in Measure of Logarithmic Means of d-dimensional Walsh-Fourier Series, Bull. Georg. Acad. Sci. (to appear).

4. [Ge] Getsadze, R., On the Divergence in Measure of Multiple Fourier Seeries, Some Problems of Function Theory and Functional Analysis, 4, Tbilisi State University, 1988, 59–76.

5. [G, E, S.] Golubov, B. I., Efimov, A. V. and Skvortsov, V. A., Series and Ttransformations of Walsh, Nauka, Moscow, 1987 (Russian); English transl.: Kluwer Acad. publ; 1991.

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