Extended abstracts Fall 2019 :spaces of analytic functions: approximation, interpolation, sampling
Author(s)
Bibliographic Information
Extended abstracts Fall 2019 :spaces of analytic functions: approximation, interpolation, sampling
（Trends in mathematics, Research perspectives CRM Barcelona ; v. 12）
Birkhäuser , Springer, c2021
- pbk.
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Note
Other editors: Anton Baranov, Alexander Borichev, Konstantin Fedorovskiy, Joaquim Ortega-Cerdà
Includes bibliographical references
Description and Table of Contents
Description
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 Matematica (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.
Table of Contents
Foreword.- Editorial.- Comparison of Clark measures in several complex variables.- On spectrum of a class of Jacobi matrices on graph-trees and multiple orthogonal polynomials.- Geometric properties of reproducing kernels in Hilbert spaces of entire functions.- A new life of the classical Szegoe formula.- De Branges canonical systems with finite logarithmic integral.- Rate of convergence of critical interfaces to SLE curves.- Toeplitz and Hankel operators on Bergman spaces.- Bounds for zeta and primes via Fourier analysis.- On zeros of solutions of a linear differential equation.- Extended abstract on Riesz bases of exponentials for convex polytopes with symmetric faces.- Remez-type inequalities and their applications.- Shift-Invariant Spaces of Entire Functions.- Describing Blaschke products by their critical points.- Two problems on homogenization in geometry.- Toeplitz operators between distinct abstract Hardy spaces.- Polynomial Hermite-Pade m-system and reconstruction of the values of algebraic functions.- Quantitative Szegoe minimum problem for some non-Szegoe measures.- Hausdorff dimension exceptional set estimates for projections, sections and intersections.- Generic boundary behaviour of Taylor series in Banach spaces of holomorphic functions.- Szegoe-type ASD for "multiplicative Toeplitz" operators.- Around Uncertainty Principle.- Inner functions, completeness and spectra.- Schmidt subspaces of Hankel operators.- Maximum principle and comparison of singular numbers for composition operators.- Canonical systems in classes of compact operators.- S-Contours and Convergent Interpolation.- Special Conformal Mappings and Extremal Problems.
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