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Titlebook: Extended Abstracts Fall 2019; Spaces of Analytic F Evgeny Abakumov,Anton Baranov,Joaquim Ortega-Cerdà Conference proceedings 2021 The Edito

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发表于 2025-3-21 16:13:30 | 显示全部楼层 |阅读模式
书目名称Extended Abstracts Fall 2019
副标题Spaces of Analytic F
编辑Evgeny Abakumov,Anton Baranov,Joaquim Ortega-Cerdà
视频video
概述Covers a wide spectrum of topics in contemporary analysis.Opens new perspectives for future research in the domain
丛书名称Trends in Mathematics
图书封面Titlebook: Extended Abstracts Fall 2019; Spaces of Analytic F Evgeny Abakumov,Anton Baranov,Joaquim Ortega-Cerdà Conference proceedings 2021 The Edito
描述.This book collects the abstracts of  the mini-courses and lectures given during the Intensive Research Program “Spaces of Analytic Functions: Approximation, Interpolation, Sampling” which was held at the Centre de Recerca Matemàtica (Barcelona) in October–December, 2019..The topics covered in this volume are approximation, interpolation and sampling problems in spaces of analytic functions, their applications to spectral theory, Gabor analysis and random analytic functions. In many places in the book, we see how a problem related to one of the topics is tackled with techniques and ideas coming from another..The book will be of interest for specialists in Complex Analysis, Function and Operator theory, Approximation theory, and their applications, but also for young people starting their research in these areas..
出版日期Conference proceedings 2021
关键词spaces of analytic functions; spectral theory; Gabor analysis; random analytic functions; complex analys
版次1
doihttps://doi.org/10.1007/978-3-030-74417-5
isbn_softcover978-3-030-74416-8
isbn_ebook978-3-030-74417-5Series ISSN 2297-0215 Series E-ISSN 2297-024X
issn_series 2297-0215
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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发表于 2025-3-21 23:32:22 | 显示全部楼层
The “Problem” of the Mixed Class DynamicWe give a survey of recent results about properties of systems of reproducing kernels in Paley–Wiener spaces, de Branges spaces and Fock spaces. In particular, we consider completeness of biorthogonal systems and spectral synthesis property for such systems.
发表于 2025-3-22 02:14:39 | 显示全部楼层
Ethnic Nationalism and Post-IndustrialismWe collect several applications of a new version of the classical Szegő formula for orthogonal polynomials. The applications are concerned with the spectral theory of Krein strings, scattering theory for Dirac systems, and triangular factorizations of positive Wiener–Hopf operators.
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Solidarities Under Conditions of Mobility,We study certain shift-invariant spaces of entire functions and characterize their sets of sampling and of interpolation. The results are similar to those for Paley-Wiener space. Furthermore we indicate that phase-retrieval works in these shift-invariant spaces. We mention several open problems that might be of interest for complex analysts.
发表于 2025-3-22 18:18:49 | 显示全部楼层
https://doi.org/10.1007/978-3-663-13298-1We show that a random quasiconformal mapping is close to an affine mapping, while a circle packing of a random Delauney triangulation is close to a conformal map.
发表于 2025-3-22 21:37:28 | 显示全部楼层
Hendrik Staiger,Victoria WalbröhlThis note contains the extended abstract of the talk presented by the author on the conference “Spaces of Analytic Functions: Approximation, Interpolation, Sampling” held in Barcelona on 25th–29th of November of 2019. This talk is based on the joint work of the author and Eugene Shargorodsky [.].
发表于 2025-3-23 04:28:41 | 显示全部楼层
,Grenzen und mögliche Einwände,I shall survey old and recent results on the Hausdorff dimension of projections, plane sections and intersections with general sets. In particular, I shall discuss estimates on the Hausdorff dimension of the sets of projections, planes and orthogonal transformations for which the typical results fail.
发表于 2025-3-23 06:37:32 | 显示全部楼层
,Intensive Research Program ‘Spaces of Analytic Functions: Approximation, Interpolation, Sampling’,We describe the Intensive Research Program “Spaces of Analytic Functions: Approximation, Interpolation, Sampling” that was held at the Centre de Recerca Matemàtica (Barcelona) in October–December, 2019.
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