Français
The Szegö minimum problem
Multi angle
Authors : Borichev, Alexander (Author of the conference)
CIRM (Publisher )
42C05 - Orthogonal functions and polynomials, general theory, See also {33A65, 33C45, 33C50, 33D45}
CIRM (Publisher )
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Abstract :
Given a finite positive measure $\mu$ on the unit circle, we consider the distance $e_{n}\left ( \mu \right )$ from $z^{n}$ to the analytic polynomials of degree less than $n$ in $L^{2}\left ( \mu \right )$. We study the asymptotic behavior of $e_{n}\left ( \mu \right )$ for $n\rightarrow \infty$ when the logarithmic integral of the density of $\mu$ diverges for different classes of measures $\mu$.
Keywords : weighted polynomial approximation
MSC Codes : Keywords : weighted polynomial approximation
42C05 - Orthogonal functions and polynomials, general theory, See also {33A65, 33C45, 33C50, 33D45}
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 13/12/2019 Conference Date : 21/11/2019 Subseries : Research talks arXiv category : Complex Variables Mathematical Area(s) : Analysis and its Applications Format : MP4 (.mp4) - HD Video Time : 00:36:58 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2019-11-21_Borichev.mp4 
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Information on the Event
Event Title : Interpolation in Spaces of Analytic Functions / Interpolation dans les espaces de fonctions analytiquesEvent Organizers : Fricain, Emmanuel ; Hartmann, Andreas ; Wick, Brett Dates : 18/11/2019 - 22/11/2019 Event Year : 2019 Event URL : https://conferences.cirm-math.fr/2055.html
Citation Data
DOI : 10.24350/CIRM.V.19579003Cite this video as: Borichev, Alexander (2019). The Szegö minimum problem. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19579003 URI : http://dx.doi.org/10.24350/CIRM.V.19579003 |
See Also
- [Multi angle] Constructive polynomial approximation in Banach spaces of holomorphic functions / Author of the conference Ransford, Thomas.
- [Multi angle] Norm-preserving extensions of bounded holomorphic functions / Author of the conference McCarthy, John.
- [Post-edited] Spectral decompositions and an extension of a theorem of Atzmon: a couple leading to spectral subspaces for Bishop operators / Author of the conference Gallardo-Gutiérrez, Eva A..
- [Multi angle] Singular rational inner functions on the polydisk / Author of the conference Bickel, Kelly.
Bibliography
- BORICHEV, Alexander, KONONOVA, Anna, et SODIN, Mikhail. Notes on the Szego minimum problem. I. Measures with deep zeroes. arXiv preprint arXiv:1902.00874, 2019. - https://arxiv.org/abs/1902.00874
- BORICHEV, Alexander, KONONOVA, Anna, et SODIN, Mikhail. Notes on the Szego minimum problem. II. Singular measures. arXiv preprint arXiv:1902.00872, 2019. - https://arxiv.org/abs/1902.00872
