LEADER 04657nam 22006015 450 001 9910510548603321 005 20251113195022.0 010 $a3-030-74417-5 024 7 $a10.1007/978-3-030-74417-5 035 $a(MiAaPQ)EBC6810881 035 $a(Au-PeEL)EBL6810881 035 $a(CKB)19919638200041 035 $a(OCoLC)1287132311 035 $a(PPN)258839031 035 $a(DE-He213)978-3-030-74417-5 035 $a(EXLCZ)9919919638200041 100 $a20211118d2021 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aExtended Abstracts Fall 2019 $eSpaces of Analytic Functions: Approximation, Interpolation, Sampling /$fedited by Evgeny Abakumov, Anton Baranov, Alexander Borichev, Konstantin Fedorovskiy, Joaquim Ortega-Cerdŕ 205 $a1st ed. 2021. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2021. 215 $a1 online resource (223 pages) 225 1 $aResearch Perspectives CRM Barcelona,$x2509-7415 ;$v12 311 08$aPrint version: Abakumov, Evgeny Extended Abstracts Fall 2019 Cham : Springer International Publishing AG,c2021 9783030744168 320 $aIncludes bibliographical references. 327 $aForeword -- 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 Szegö 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 Hardyspaces -- Polynomial Hermite?Padé m-system and reconstruction of the values of algebraic functions -- Quantitative Szegö minimum problem for some non-Szegö measures -- Hausdorff dimension exceptional set estimates for projections, sections and intersections -- Generic boundary behaviour of Taylor series in Banach spaces of holomorphic functions -- Szegö-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. 330 $aThis book collects the abstracts of the mini-courses and lectures given during the Intensive Research Program ?Spaces of Analytic Functions: Approximation, Interpolation, Sampling? which was held at the Centre de Recerca Matemŕtica (Barcelona) in October?December, 2019. The topics covered in this volume are approximation, interpolation and sampling problems in spaces of analytic functions, their applications to spectral theory, Gabor analysis and random analytic functions. In many places in the book, we see how a problem related to one of the topics is tackled with techniques and ideas coming from another. The book will be of interest for specialists in Complex Analysis, Function and Operator theory, Approximation theory, and their applications, but also for young people starting their research in these areas. 410 0$aResearch Perspectives CRM Barcelona,$x2509-7415 ;$v12 606 $aFunctions of complex variables 606 $aApproximation theory 606 $aFunctional analysis 606 $aFunctions of a Complex Variable 606 $aApproximations and Expansions 606 $aFunctional Analysis 615 0$aFunctions of complex variables. 615 0$aApproximation theory. 615 0$aFunctional analysis. 615 14$aFunctions of a Complex Variable. 615 24$aApproximations and Expansions. 615 24$aFunctional Analysis. 676 $a515.9 702 $aAbakumov$b Evgeny 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910510548603321 996 $aExtended abstracts fall 2019$92906355 997 $aUNINA