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

2012 ◽  
Vol 91 (3-4) ◽  
pp. 479-486 ◽  
Author(s):  
B. I. Golubov
Keyword(s):  
Fourier Series ◽  
Multiple Fourier Series ◽  
Riesz Means ◽  
Fourier Integrals

scholarly journals On the Localization of the Riesz Means of Multiple Fourier Series of Distributions

2011 ◽  
Vol 2011 ◽  
pp. 1-8 ◽  
Author(s):  
A. A. Rakhimov
Keyword(s):  
Fourier Series ◽  
Compact Support ◽  
Sufficient Conditions ◽  
Multiple Fourier Series ◽  
Partial Sums ◽  
Riesz Means ◽  
Fourier Expansions

We study special partial sums of multiple Fourier series of distributions. We obtain sufficient conditions of summation of Riesz means of Fourier expansions of distributions with compact support.

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