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Geometry of reproducing kernels in Hilbert spaces of analytic functions
Virtualconference
Authors : Baranov, Anton (Author of the conference)
CIRM (Publisher )
CIRM (Publisher )
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Abstract :
We will give a short survey of Alexander Borichev's work on sampling and interpolation in spaces of analytic functions and on related geometric properties of systems of reproducing kernels. In particular, we discuss a surprising construction of Fock-type spaces admitting Riesz bases of normalized reproducing kernels due to A. Borichev and Yu. Lyubarskii as well as several of its consequences. Another group of questions is related to the so-called spectral synthesis problem which was solved in our joint work with Yu. Belov and A. Borichev for the Paley-Wiener, de Branges and Bargmann-Fock spaces. This line of research culminated in the solution (by Borichev and Belov) of the Newman-Shapiro spectral synthesis problem which remained open for more than 50 years.
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Information on the Video
Film maker : Recanzone, LucaLanguage : English Available date : 24/05/2024 Conference Date : 30/04/2024 Subseries : Research talks arXiv category : Classical Analysis and ODEs Mathematical Area(s) : Analysis and its Applications Format : MP4 (.mp4) - HD Video Time : 00:38:57 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2024-04-30_Baranov.mp4 
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Information on the Event
Event Title : Shapes and shades of Analysis: in depth and beyond / Formes et nuances de l'analyse moderneEvent Organizers : Abakumov, Evgeny ; Charpentier, Stéphane ; Kupin, Stanislas ; Tomilov, Yuri ; Zarouf, Rachid Dates : 29/04/2024 - 03/05/2024 Event Year : 2024 Event URL : https://conferences.cirm-math.fr/3004.html
Citation Data
DOI : 10.24350/CIRM.V.20168403Cite this video as: Baranov, Anton (2024). Geometry of reproducing kernels in Hilbert spaces of analytic functions. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20168403 URI : http://dx.doi.org/10.24350/CIRM.V.20168403 |
See Also
- [Multi angle] The matrix $A_2$ conjecture fails, or $3 / 2>1$ / Author of the conference Treil, Serguei.
- [Multi angle] Sasha Borichev (a short sketch) / Author of the conference Sodin, Mikhail.
- [Multi angle] The norm of the backward shift operator on $H^1$ is $\frac{2}{\sqrt{3}}$ / Author of the conference Seip, Kristian.
- [Multi angle] Schatten class of Sobolev embeddings, and how fast can/must oscillate an $L^2$ basis / Author of the conference Nikolski, Nikolaï.
Bibliography
Imagette Video
