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math.AP2019
Generalized localization for spherical partial sums of the multiple Fourier series and integrals
Ravshan Ashurov
It is well known, that Luzin's conjecture has a positive solution for one dimensional trigonometric Fourier series and it is still open for the spherical partial sums , $f…
math.AP2019
A remark on convergence almost-everywhere of eigenfunction expansions of elliptic operators
Ravshan Ashurov
In this paper it is proposed a very simple method for estimating the maximal operator in . Using this method one can considerably improve the existing theorems on convergence…
math.AP2019
Generalized localization for spherical partial sums of multiple Fourier series
Ravshan Ashurov
In this paper the generalized localization principle for the spherical partial sums of the multiple Fourier series in the - class is proved, that is, if and $…