[Turkmath:5634] Fwd:
Allaberen Ashyralyev
aallaberen at gmail.com
Wed May 18 16:27:02 UTC 2022
Dear Colleagues!
You are cordially invited to the Weekly Online Seminar “Analysis and
Applied Mathematics” on
Date: Tuesday, May 24, 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=SFNmQUIvT0tRaH-lDaVYrN3l5bzJVQT09,
Conference ID: 667 827 0445, Access code: 1
Speaker: Assoc. Prof. Dr. Maksim V. Kukushkin
Moscow State University of Civil Engineering, Moscow, Kabardino-Balkarian
Scientific Center, Russian Academy of Sciences, Russian Federation
Title: Natural lacunae method and Schatten-von Neumann classes of the
convergence exponent
Abstract: The first aim is to clarify the results [1] obtained by Lidsky
V.B. devoted to the decomposition of the root vector system of the
non-selfadjoint operator. We use a technique of the entire function theory
and introduce a so-called Schatten-von Neumann class of the convergence
exponent. Considering strictly accretive operators satisfying special
conditions formulated in terms of the norm, we construct a sequence of
contours of the power type in contrast to the results of Lidsky V.B., where
a sequence of contours of the exponential type was used. As an application,
we study the Cauchy problems for the evolution equation in the abstract
Hilbert space [2]. The made approach allows us to obtain a solution
analytically for the right-hand side belonging to a sufficiently wide class
of operators. In this regard such operators as the Riemann-Liouville
fractional differential operator, the Riesz potential, the difference
operator have been involved. Moreover, we produce the artificially
constructed normal operator for which the clarification of the Lidsky
results relevantly works.
References:
[1] Lidskii V.B. Summability of series in terms of the principal vectors of
non-selfadjoint operators. Tr. Mosk. Mat. Obs., 11 (1962), 3-35.
[2] Kukushkin M.V. Evolution Equations in Hilbert Spaces via the Lacunae
Method. arXiv, arXiv:2202.07338 [math.FA],
https://doi.org/10.48550/arXiv.2202.07338.
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>*
---------- Forwarded message ---------
From: Allaberen Ashyralyev <aallaberen at gmail.com>
Date: Wed, 18 May 2022 at 19:10
Subject: Re:
To: <kaan.kocabas at eng.bau.edu.tr>, Burcu GEBES <burcu.gebes at eng.bau.edu.tr>,
Nafiz ARICA <nafiz.arica at eng.bau.edu.tr>, Süreyya Akyüz <
sureyya.akyuz at eng.bau.edu.tr>, Tunc BOZBURA <tunc.bozbura at eng.bau.edu.tr>
Haftaya seminar:
Dear Colleagues!
You are cordially invited to the Weekly Online Seminar “Analysis and
Applied Mathematics” on
Date: Tuesday, May 24, 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=SFNmQUIvT0tRaH-lDaVYrN3l5bzJVQT09,
Conference ID: 667 827 0445, Access code: 1
Speaker: Assoc. Prof. Dr. Maksim V. Kukushkin
Moscow State University of Civil Engineering, Moscow, Kabardino-Balkarian
Scientific Center, Russian Academy of Sciences, Russian Federation
Title: Natural lacunae method and Schatten-von Neumann classes of the
convergence exponent
Abstract: The first aim is to clarify the results [1] obtained by Lidsky
V.B. devoted to the decomposition of the root vector system of the
non-selfadjoint operator. We use a technique of the entire function theory
and introduce a so-called Schatten-von Neumann class of the convergence
exponent. Considering strictly accretive operators satisfying special
conditions formulated in terms of the norm, we construct a sequence of
contours of the power type in contrast to the results of Lidsky V.B., where
a sequence of contours of the exponential type was used. As an application,
we study the Cauchy problems for the evolution equation in the abstract
Hilbert space [2]. The made approach allows us to obtain a solution
analytically for the right-hand side belonging to a sufficiently wide class
of operators. In this regard such operators as the Riemann-Liouville
fractional differential operator, the Riesz potential, the difference
operator have been involved. Moreover, we produce the artificially
constructed normal operator for which the clarification of the Lidsky
results relevantly works.
References:
[1] Lidskii V.B. Summability of series in terms of the principal vectors of
non-selfadjoint operators. Tr. Mosk. Mat. Obs., 11 (1962), 3-35.
[2] Kukushkin M.V. Evolution Equations in Hilbert Spaces via the Lacunae
Method. arXiv, arXiv:2202.07338 [math.FA],
https://doi.org/10.48550/arXiv.2202.07338.
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>*
On Thu, 12 May 2022 at 11:50, Allaberen Ashyralyev <aallaberen at gmail.com>
wrote:
> Haftaya seminar:
> Dear Colleagues!
>
> You are cordially invited to the Weekly Online Seminar “Analysis and
> Applied Mathematics” on
>
> Date: Tuesday, May 17, 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=SFNmQUIvT0tRaH-lDaVYrN3l5bzJVQT09,
> Conference ID: 667 827 0445, Access code: 1
>
> Speaker: Prof. Dr. Kairat Mynbaev
>
> Kazakh-British Technical University, Almaty, Kazakhstan
>
>
> Title: Weighted Hardy inequality on topological measure spaces
>
> Abstract: The talk is about a multidimensional Hardy operator in
> weighted Lebesgue spaces. We describe the history of the subject, with
> emphasis on the recent results by Prokhorov, Stepanov and Ushakova (2018),
> Ruzhansky and Yessirkegenov (2019), Ruzhansky and Verma (2021) and Sinnamon
> (2022). We explain why the transition from one dimension to many dimensions
> took so long and what tools have been used by different authors. Then we
> report new results and share plans for future research.
>
> 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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