On the Abel summability of multiple Fourier series by spherical means

Tohoku Mathematical Journal ◽

10.2748/tmj/1178244663 ◽

1958 ◽

Vol 10 (3) ◽

pp. 253-261 ◽

Author(s):

Kazuaki Takeda

Keyword(s):

Fourier Series ◽

Multiple Fourier Series ◽

Spherical Means ◽

Abel Summability

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On the Gibbs phenomenon for Riesz spherical means of multiple Fourier series and Fourier integrals

Analysis Mathematica ◽

10.1007/bf01905111 ◽

1975 ◽

Vol 1 (1) ◽

pp. 31-53 ◽

Author(s):

B. I. Golubov

Keyword(s):

Fourier Series ◽

Gibbs Phenomenon ◽

Multiple Fourier Series ◽

Spherical Means ◽

Fourier Integrals

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Summation of Multiple Fourier Series by Spherical Means

Proceedings of the National Academy of Sciences ◽

10.1073/pnas.21.6.353 ◽

1935 ◽

Vol 21 (6) ◽

pp. 353-355 ◽

Author(s):

S. Bochner

Keyword(s):

Fourier Series ◽

Multiple Fourier Series ◽

Spherical Means

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ON THE CONVERGENCE OF RIESZ SPHERICAL MEANS OF MULTIPLE FOURIER SERIES AND INTEGRALS OF FUNCTIONS OF BOUNDED GENERALIZED VARIATION

Mathematics of the USSR-Sbornik ◽

10.1070/sm1972v018n04abeh001869 ◽

1972 ◽

Vol 18 (4) ◽

pp. 635-658 ◽

Author(s):

B I Golubov

Keyword(s):

Fourier Series ◽

Multiple Fourier Series ◽

Spherical Means ◽

Generalized Variation

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ON CONVERGENCE OF RIESZ SPHERICAL MEANS OF MULTIPLE FOURIER SERIES

Mathematics of the USSR-Sbornik ◽

10.1070/sm1975v025n02abeh002205 ◽

1975 ◽

Vol 25 (2) ◽

pp. 177-197 ◽

Author(s):

B I Golubov

Keyword(s):

Fourier Series ◽

Multiple Fourier Series ◽

Spherical Means

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Summation of multiple Fourier series by spherical means

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1936-1501870-1 ◽

1936 ◽

Vol 40 (2) ◽

pp. 175-175 ◽

Author(s):

Salomon Bochner

Keyword(s):

Fourier Series ◽

Multiple Fourier Series ◽

Spherical Means

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Strong spherical means of multiple Fourier series

Journal of Contemporary Mathematical Analysis ◽

10.3103/s1068362309040037 ◽

2009 ◽

Vol 44 (4) ◽

pp. 219-229

Author(s):

O. I. Kuznetsova

Keyword(s):

Fourier Series ◽

Multiple Fourier Series ◽

Spherical Means

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Capacity and absolute abel summability of multiple Fourier series

Journal of Approximation Theory ◽

10.1016/0021-9045(74)90103-8 ◽

1974 ◽

Vol 10 (4) ◽

pp. 313-323 ◽

Author(s):

Gary E Lippman ◽

Victor L Shapiro

Keyword(s):

Fourier Series ◽

Multiple Fourier Series ◽

Abel Summability

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Riesz Summation of Multiple Fourier Series by Spherical Means

Annals of Mathematics ◽

10.2307/1969461 ◽

1949 ◽

Vol 50 (2) ◽

pp. 356

Author(s):

Min-Teh Cheng

Keyword(s):

Fourier Series ◽

Multiple Fourier Series ◽

Spherical Means

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ON THE MEAN CONVERGENCE OF MULTIPLE FOURIER SERIES AND THE ASYMPTOTICS OF THE DIRICHLET KERNEL OF SPHERICAL MEANS

Eurasian Mathematical Journal ◽

10.32523/2077-9879-2018-9-4-22-60 ◽

2018 ◽

Vol 9 (4) ◽

pp. 22-60

Author(s):

K.I. Babenko

Keyword(s):

Fourier Series ◽

Dirichlet Kernel ◽

Multiple Fourier Series ◽

Spherical Means ◽

Mean Convergence ◽

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On the absolute convergence of multiple fourier series

Acta Mathematica Hungarica ◽

10.1007/s10474-007-6100-z ◽

2007 ◽

Vol 117 (3) ◽

pp. 275-292 ◽

Author(s):

Ferenc Móricz ◽

Antal Veres

Keyword(s):

Fourier Series ◽

Absolute Convergence ◽

Multiple Fourier Series ◽

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