[Turkmath:5517] (no subject)

[Allaberen Ashyralyev]

Dear Colleagues!

You are cordially invited to the Weekly Online Seminar “Analysis and
Applied Mathematics” on

Date: Tuesday, March 29, 2022

Time: 14.00-15.00 (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:

𝑆_α𝑓(𝑥).Historically progress with solving the Luzin’s conjecture has
been made by considering easier problems. One of such easier problems for 𝑆
_α𝑓(𝑥) 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.

Abstracts and forthcoming talks can be found on our webpage

https://sites.google.com/view/aam-seminars

Kind regards,

*Prof. Dr. Allaberen Ashyralyev *
*Department of Mathematics, Bahcesehir University, 34353, Istanbul, Turkey*
*  and **Near East University, Lefkoşa(Nicosia), Mersin 10 Turkey*
*Peoples' Friendship University of Russia (RUDN University),** Ul Miklukho
Maklaya 6, Moscow 117198, Russian Federation *
*Institute of Mathematics and Mathematical Modelling, 050010, Almaty,
Kazakhstan*
*e-mail: allaberen.ashyralyev at eng.bau.edu.tr
<allaberen.ashyralyev at neu.edu.tr> and **aallaberen at gmail.com
<aallaberen at gmail.com> *
 http://akademik.bahcesehir.edu.tr/web/allaberenashyralyev

https://sites.google.com/view/aam-seminars
https://content.sciendo.com/view/journals/ejaam/ejaam-overview.xml
*icaam-online.org <http://icaam-online.org>*

*https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1
<https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1>*
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