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

B. I. Golubov

doi:10.1007/bf01905111

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 ◽

Cited By ~ 5

Author(s):

B. I. Golubov

Keyword(s):

Fourier Series ◽

Gibbs Phenomenon ◽

Multiple Fourier Series ◽

Spherical Means ◽

Fourier Integrals

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

Analysis Mathematica ◽

10.1007/bf02020575 ◽

1978 ◽

Vol 4 (4) ◽

pp. 269-287 ◽

Cited By ~ 5

Author(s):

B. I. Golubov

Keyword(s):

Fourier Series ◽

Gibbs Phenomenon ◽

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 ◽

Cited By ~ 2

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 ◽

Cited By ~ 2

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 ◽

Cited By ~ 1

Author(s):

B I Golubov

Keyword(s):

Fourier Series ◽

Multiple Fourier Series ◽

Spherical Means

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MULTIPLE FOURIER SERIES AND FOURIER INTEGRALS WITH NON-SEPARABLE VARIABLES

University proceedings Volga region Physical and mathematical sciences ◽

10.21685/2072-3040-2020-2-3 ◽

2020 ◽

Author(s):

O. E. Yaremko ◽

◽

N. N. Yaremko ◽

E. S. Mogileva ◽

◽

...

Keyword(s):

Fourier Series ◽

Multiple Fourier Series ◽

Fourier Integrals

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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 ◽

Cited By ~ 77

Author(s):

Salomon Bochner

Keyword(s):

Fourier Series ◽

Multiple Fourier Series ◽

Spherical Means

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Spherical jump of a function and the Bochner-Riesz means of conjugate multiple fourier series and fourier integrals

Mathematical Notes ◽

10.1134/s0001434612030212 ◽

2012 ◽

Vol 91 (3-4) ◽

pp. 479-486 ◽

Cited By ~ 3

Author(s):

B. I. Golubov

Keyword(s):

Fourier Series ◽

Multiple Fourier Series ◽

Riesz Means ◽

Fourier Integrals

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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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Equiconvergence of expansions in multiple Fourier series and in fourier integrals with “lacunary sequences of partial sums”

Mathematical Notes ◽

10.1134/s0001434616010235 ◽

2016 ◽

Vol 99 (1-2) ◽

pp. 196-209

Author(s):

I. L. Bloshanskii ◽

D. A. Grafov

Keyword(s):

Fourier Series ◽

Multiple Fourier Series ◽

Partial Sums ◽

Lacunary Sequences ◽

Fourier Integrals

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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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