APPLICATIONS OF MULTI-PARAMETER MARTINGALES IN FOURIER ANALYSIS

Stochastics and Dynamics ◽

10.1142/s0219493711003449 ◽

2011 ◽

Vol 11 (02n03) ◽

pp. 551-568

Author(s):

FERENC WEISZ

Keyword(s):

Fourier Series ◽

Fourier Analysis ◽

Two Dimensional ◽

Almost Everywhere Convergence ◽

Fejér Means ◽

Almost Everywhere ◽

With the help of the theory of multi-parameter martingales we prove almost everywhere convergence of the Fejér means of two-dimensional Walsh–Fourier series of f ∈ L log L.

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Almost Everywhere Convergence of Fejér Means of Two-dimensional Triangular Walsh–Fourier Series

Journal of Fourier Analysis and Applications ◽

10.1007/s00041-017-9566-2 ◽

2017 ◽

Vol 24 (5) ◽

pp. 1249-1275 ◽

Author(s):

György Gát

Keyword(s):

Fourier Series ◽

Two Dimensional ◽

Almost Everywhere Convergence ◽

Fejér Means ◽

Almost Everywhere

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Almost everywhere convergence of dyadic triangular-Fejér means of two-dimensional Walsh-Fourier series

Mathematical Inequalities & Applications ◽

10.7153/mia-19-32 ◽

2016 ◽

pp. 401-415

Author(s):

György Gát ◽

Ushangi Goginava

Keyword(s):

Fourier Series ◽

Two Dimensional ◽

Almost Everywhere Convergence ◽

Fejér Means ◽

Almost Everywhere

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Almost everywhere convergence of cone-like restricted two-dimensional Fejér means with respect to Vilenkin-like systems

St Petersburg Mathematical Journal ◽

10.1090/s1061-0022-2014-01309-x ◽

2014 ◽

Vol 25 (4) ◽

pp. 605-614

Author(s):

K. Nagy

Keyword(s):

Two Dimensional ◽

Almost Everywhere Convergence ◽

Fejér Means ◽

Almost Everywhere

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Almost Everywhere Strong Summability of Fejér Means of Rectangular Partial Sums of Two-dimensional Walsh-Fourier Series

Journal of Contemporary Mathematical Analysis ◽

10.3103/s106836231802005x ◽

2018 ◽

Vol 53 (2) ◽

pp. 100-112

Author(s):

U. Goginava

Keyword(s):

Fourier Series ◽

Strong Summability ◽

Partial Sums ◽

Two Dimensional ◽

Fejér Means ◽

Almost Everywhere

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Almost everywhere convergence of sequences of two-dimensional Walsh–Fejér means of integrable functions

Acta Mathematica Hungarica ◽

10.1007/s10474-011-0172-5 ◽

2011 ◽

Vol 134 (4) ◽

pp. 589-601

Author(s):

György Gát

Keyword(s):

Two Dimensional ◽

Almost Everywhere Convergence ◽

Fejér Means ◽

Almost Everywhere ◽

Integrable Functions ◽

Convergence Of Sequences

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Almost Everywhere Convergence of Subsequence of Quadratic Partial Sums of Two-Dimensional Walsh–Fourier Series

Analysis Mathematica ◽

10.1007/s10476-018-0107-2 ◽

2018 ◽

Vol 44 (1) ◽

pp. 73-88

Author(s):

G. Gát ◽

U. Goginava

Keyword(s):

Fourier Series ◽

Partial Sums ◽

Two Dimensional ◽

Almost Everywhere Convergence ◽

Almost Everywhere

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Almost everywhere convergence of Vilenkin-Fourier series

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1973-0352883-x ◽

1973 ◽

Vol 185 ◽

pp. 345-345 ◽

Author(s):

John Gosselin

Keyword(s):

Fourier Series ◽

Almost Everywhere Convergence ◽

Almost Everywhere

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On almost everywhere convergence of Walsh-Fourier series

Proceedings of the Japan Academy ◽

10.3792/pja/1195521084 ◽

1968 ◽

Vol 44 (7) ◽

pp. 647-650 ◽

Author(s):

Jun Tateoka

Keyword(s):

Fourier Series ◽

Almost Everywhere Convergence ◽

Almost Everywhere

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On almost everywhere convergence of Marcinkiewicz sums of double Fourier series

Journal of Mathematical Sciences ◽

10.1007/bf02111297 ◽

1994 ◽

Vol 71 (1) ◽

pp. 2263-2268 ◽

Author(s):

M. A. Skopina

Keyword(s):

Fourier Series ◽

Double Fourier Series ◽

Almost Everywhere Convergence ◽

Almost Everywhere

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A note on the almost everywhere convergence of Bochner-Riesz means of multiple conjugate Fourier series

Harmonic Analysis - Lecture Notes in Mathematics ◽

10.1007/bfb0093299 ◽

1982 ◽

pp. 319-325

Author(s):

Lu Shan-zhen

Keyword(s):

Fourier Series ◽

Riesz Means ◽

Almost Everywhere Convergence ◽

Conjugate Fourier Series ◽

Almost Everywhere

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