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«Analysis and Applied Mathematics» Апталық онлайн семинар 6

Analysis & PDE Center, Ghent University, Ghent, Belgium

Institute Mathematics & Math. Modeling, Almaty, Kazakhstan

“Analysis and Applied Mathematics”

Weekly Online Seminar

Date: Tuesday, March 29, 2022

Time: 14.00-15.00 (GMT+3, Istanbul) = 13.00-14.00 (Ghent) = 17.00-18.00 (Almaty)

Zoom link: https://us02web.zoom.us/j/6678270445?pwd=SFNmQUIvT0tRaHlDaVYrN3l5bzJVQT09,

Conference ID: 667 827 0445, Access code: 1

Speaker: Prof. Dr. Ravshan Ashurov

Institute of Mathematics & National University of Uzbekistan, Tashkent, Uzbekistan

Title: Solution of the problem of generalized localization for spherical partial sums of multiple Fourier series

Abstract: It is well known that Luzin’s conjecture has a positive solution in one dimensional case and it is still open in multidimensional case for the spherical partial sums.

Historically progress with solving the Luzin’s conjecture has been made by considering easier problems. One of such easier problems for

was suggested by V. A. Il’in in 1968 and this

problem is called the generalized localization principle for the spherical partial sums.

Recently, the problem of generalized localization was completely solved in papers [1] and [2].

In this talk we first give a short survey on convergence a.e. of one dimensional and multidimensional

Fourier series, then indicate a sketch of the above mentioned result’s proof.

References:

[1] R. R. Ashurov, Generalized localization for spherical partial sums of multiple Fourier

series, J. Fourier Anal. Appl., 25 (2019), 3174–3183.

[2] R. R. Ashurov, Generalized Localization for Spherical Partial Sums of Multiple Fourier

Series, Dokl. Math., 100 (2019), 505-507.

Forthcoming talks can be found on our webpage
https://sites.google.com/view/aam-seminars

Full information.

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«Analysis and Applied Mathematics» Апталық онлайн семинар 6

Title: Solution of the problem of generalized localization for spherical partial sums of multiple Fourier series

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