Analysis days in Sirius

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Analysis days in Sirius
(October 25–29, 2021, Sochi)

The International Conference «Analysis Days in Sirius» will be held in the Sirius Mathematics Center (Sochi, Russia) from October 25 to October 29, 2021. The scope of this conference encompasses a wide spectrum of problems in contemporary Complex and Harmonic Analysis, Theory of spaces of analytic functions and operators in these spaces, Potential Theory and Theory of approximation by analytic functions.

The conference program consists of plenary talks by invited speakers and open problems sessions. Participation in the work of these sessions is also by invitation only. Moreover, up to 10 students and post graduate students selected by the special competitive procedure will participate in open problems sessions and present their research works in the framework of poster session.

The conference is organised in cooperation with the Moscow Center of Fundamental and Applied Mathematics.

Program and Abstracts

E-mail:
Website:	https://siriusmathcenter.ru/program/012w

Organizing Committee
Borichev Alexander Aleksandrovich
Fedorovskiy Konstantin Yurievich
Lysov Vladimir Genrikhovich
Mozolyako Pavel Alexandrovich
Paramonov Petr Vladimirovich

Scientific Secretaries
Lopatin Elijah Aleksandrovich (Scientific Secretary)

Speakers
Aptekarev Alexander Ivanovich
Arcozzi Nicola
Bagapsh Astamur Olegovich
Baranov Anton Dmitrievich
Beloshapka Valerii Konstantinovich
Belov Yurii Sergeevich
Bezrodnykh Sergei Igorevich
Bogatyrev Andrei Borisovich
Domrin Andrei Victorovich
Dyachenko Aleksandr Viktorovich
Khavinson Dmitrii
Komlov Aleksandr Vladimirovich (not confirmed)
Mazalov Maksim Yakovlevich
Mkrtchyan Aleksandr J
Ortega-Cerdá Joaquim
Osipov Nikolay Nikolaevich
Romanov Roman Vladimirovich
Suetin Sergey Pavlovich
Thomas Pascal
Tolsa Xavier
Tyaglov Mikhail Yur'evich
Ulanovskii Alexander Mikhailovich
Volberg Alexander L'vovich
Zarouf Rachid

Institutions
Sirius Mathematics Center


*Analysis days in Sirius, Sochi, October 25–29, 2021*

	*October 25, 2021 (Mon)*

1.	On the chain structure of de Branges spaces Yu. S. Belov October 25, 2021 10:00–10:45, Sochi, online via Zoom at 09:00 CEST (=08:00 BST, =03:00 EDT)


2.	Idempotent Fourier multipliers acting contractively on $H^p$ spaces J. Ortega-Cerdá October 25, 2021 10:50–11:35, Sochi, online via Zoom at 09:50 CEST (=08:50 BST, =03:50 EDT)


3.	From Krawtchouk to Hahn via Jacobi and some other applications of differential operators with polynomial coefficients M. Yu. Tyaglov October 25, 2021 11:55–12:40, Sochi, online via Zoom at 10:55 CEST (=09:55 BST, =04:55 EDT)


4.	A direct proof of Stahl's theorem for a generic class of algebraic functions S. P. Suetin October 25, 2021 12:45–13:30, Sochi, online via Zoom at 11:45 CEST (=10:45 BST, =05:45 EDT)


5.	Mappings by solutions of strongly elliptic systems A. O. Bagapsh October 25, 2021 15:00–15:45, Sochi, online via Zoom at 14:00 CEST (=13:00 BST, =08:00 EDT)


6.	The Lauricella function and its relationship with other hypergeometric functions S. I. Bezrodnykh October 25, 2021 15:50–16:35, Sochi, online via Zoom at 14:50 CEST (=13:50 BST, =08:50 EDT)


7.	Some problems in discrete analysis with applications to function spaces N. Arcozzi October 25, 2021 16:55–17:40, Sochi, online via Zoom at 15:55 CEST (=14:55 BST, =09:55 EDT)


8.	Monodromy-free operators and holomorphic solutions of soliton equations A. V. Domrin October 25, 2021 17:45–18:30, Sochi, online via Zoom at 16:45 CEST (=15:45 BST, =10:45 EDT)


	*October 26, 2021 (Tue)*

9.	Constructive reconstruction of values of an algebraic function via polynomial Hermite–Padé $m$-system A. V. Komlov October 26, 2021 10:00–10:45, Sochi, online via Zoom at 09:00 CEST (=08:00 BST, =03:00 EDT)


10.	Quasi-homogeneous model CR manifolds V. K. Beloshapka October 26, 2021 10:50–11:35, Sochi, online via Zoom at 09:50 CEST (=08:50 BST, =03:50 EDT)


11.	Bellman function for the Gundy theorem N. N. Osipov October 26, 2021 11:55–12:40, Sochi, online via Zoom at 10:55 CEST (=09:55 BST, =04:55 EDT)


12.	Schäffer's conjecture, Fourier coefficients of Blaschke products and Jacobi polynomials with first varying parameter R. Zarouf October 26, 2021 12:45–13:30, Sochi, online via Zoom at 11:45 CEST (=10:45 BST, =05:45 EDT)


13.	Bianalytic functions of Hölder classes in Jordan domains with nonanalytic boundaries M. Ya. Mazalov October 26, 2021 15:00–15:45, Sochi, online via Zoom at 14:00 CEST (=13:00 BST, =08:00 EDT)


14.	On geometry of the unit ball of Paley-Wiener space over two intervals A. M. Ulanovskii October 26, 2021 15:50–16:35, Sochi, online via Zoom at 14:50 CEST (=13:50 BST, =08:50 EDT)


15.	Strange property of positive measures and bi-linear estimates on multi-trees A. L. Volberg October 26, 2021 16:55–17:55, Sochi, online via Zoom at 15:55 CEST (=14:55 BST, =09:55 EDT)


16.	The classification problem for arclength null quadrature domains D. Khavinson October 26, 2021 18:00–19:00, Sochi, online via Zoom at 17:00 CEST (=16:00 BST, =11:00 EDT)


	*October 28, 2021 (Thu)*

17.	On zeroes and poles of Helson zeta function R. V. Romanov October 28, 2021 09:45–10:30, Sochi, online via Zoom at 08:45 CEST (=07:45 BST, =02:45 EDT)


18.	The measures with $L^2$-bounded Riesz transform and the Painlevé problem for Lipschitz harmonic functions X. Tolsa October 28, 2021 10:35–11:20, Sochi, online via Zoom at 09:35 CEST (=08:35 BST, =03:35 EDT)


19.	Invertibility threshold for Nevanlinna quotient algebras P. Thomas October 28, 2021 11:40–12:25, Sochi, online via Zoom at 10:40 CEST (=09:40 BST, =04:40 EDT)


20.	Recurrence relations and asymptotics of colored Jones polynomials A. I. Aptekarev October 28, 2021 12:30–13:30, Sochi, online via Zoom at 11:30 CEST (=10:30 BST, =05:30 EDT)


	Open Problem Session “Spectral theory of difference operators: weak and strong asymptotics.” Coordinators: A. Aptekarev, V. Lysov.

21.	A semiclassical WKB problem for the Dirac operator with a decaying potential N. Hatzizisis October 28, 2021 15:00–16:35, Open Problem Session “Spectral theory of difference operators: weak and strong asymptotics.”, Sochi


	Open Problem Session “Open questions of multivariable complex analysis.” Coordinators: V. Beloshapka, A. Domrin.

22.	Dimension conjecture: in search of symmetry M. A. Stepanova October 28, 2021 16:55–18:30, Open Problem Session “Open questions of multivariable complex analysis.”, Sochi


	Open Problem Session “Constructive approximations and analytic continuation on Riemann surfaces.” Coordinators: A. Komlov, S. Suetin.

23.	Hermite–Padé polynomials of type I for a tuple of meromorphic functions on a compact Riemann surface and Shafer approximants R. V. Palvelev October 28, 2021 16:55–18:00, Open Problem Session “Constructive approximations and analytic continuation on Riemann surfaces.”, Sochi


	*October 29, 2021 (Fri)*

24.	On algebraic properties of classical multiple orthogonal polynomials of discrete variable A. V. Dyachenko October 29, 2021 09:45–10:30, Sochi, online via Zoom at 08:45 CEST (=07:45 BST, =02:45 EDT)


25.	Analytic continuation of multiple power series by means of coefficients interpolation A. J. Mkrtchyan October 29, 2021 10:35–11:20, Sochi, online via Zoom at 09:35 CEST (=08:35 BST, =03:35 EDT)


26.	Graphs describing conformal structure and their degeneration A. B. Bogatyrev October 29, 2021 11:40–12:25, Sochi, online via Zoom at 10:40 CEST (=09:40 BST, =04:40 EDT)


27.	Hilbert spaces of Cauchy transforms A. D. Baranov October 29, 2021 12:30–13:30, Sochi, online via Zoom at 11:30 CEST (=10:30 BST, =05:30 EDT)

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