LEADER 04399nam 22006135 450 001 9910751391503321 005 20251113175323.0 010 $a9783031335723$b(electronic bk.) 010 $z9783031335716 024 7 $a10.1007/978-3-031-33572-3 035 $a(MiAaPQ)EBC30787820 035 $a(Au-PeEL)EBL30787820 035 $a(DE-He213)978-3-031-33572-3 035 $a(PPN)272915955 035 $a(CKB)28505208400041 035 $a(OCoLC)1404821849 035 $a(EXLCZ)9928505208400041 100 $a20231013d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aLectures on Analytic Function Spaces and their Applications /$fedited by Javad Mashreghi 205 $a1st ed. 2023. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2023. 215 $a1 online resource (426 pages) 225 1 $aFields Institute Monographs,$x2194-3079 ;$v39 311 08$aPrint version: Mashreghi, Javad Lectures on Analytic Function Spaces and Their Applications Cham : Springer,c2023 9783031335716 327 $aPreface -- Hardy Spaces -- The Dirichlet space -- Bergman space of the unit disc -- Model Spaces -- Operators on Function Spaces -- Truncated Toeplitz Operators -- Semigroups of weighted composition operators on spaces of holomorphic functions -- The Corona Problem -- A brief introduction to noncommutative function theory -- An invitation to the Drury-Arveson space -- References. 330 $aThe focus program on Analytic Function Spaces and their Applications took place at Fields Institute from July 1st to December 31st, 2021. Hilbert spaces of analytic functions form one of the pillars of complex analysis. These spaces have a rich structure and for more than a century have been studied by many prominent mathematicians. They have essential applications in other fields of mathematics and engineering. The most important Hilbert space of analytic functions is the Hardy class H2. However, its close cousins?the Bergman space A2, the Dirichlet space D, the model subspaces Kt, and the de Branges-Rovnyak spaces H(b)?have also garnered attention in recent decades. Leading experts on function spaces gathered and discussed new achievements and future venues of research on analytic function spaces, their operators, and their applications in other domains. With over 250 hours of lectures by prominent mathematicians, the program spanned a wide variety of topics. Moreexplicitly, there were courses and workshops on Interpolation and Sampling, Riesz Bases, Frames and Signal Processing, Bounded Mean Oscillation, de Branges-Rovnyak Spaces, Blaschke Products and Inner Functions, and Convergence of Scattering Data and Non-linear Fourier Transform, among others. At the end of each week, there was a high-profile colloquium talk on the current topic. The program also contained two advanced courses on Schramm Loewner Evolution and Lattice Models and Reproducing Kernel Hilbert Space of Analytic Functions. This volume features the courses given on Hardy Spaces, Dirichlet Spaces, Bergman Spaces, Model Spaces, Operators on Function Spaces, Truncated Toeplitz Operators, Semigroups of weighted composition operators on spaces of holomorphic functions, the Corona Problem, Non-commutative Function Theory, and Drury-Arveson Space. This volume is a valuable resource for researchers interested in analytic function spaces. 410 0$aFields Institute Monographs,$x2194-3079 ;$v39 606 $aFunctions of complex variables 606 $aFunctional analysis 606 $aOperator theory 606 $aFunctions of a Complex Variable 606 $aFunctional Analysis 606 $aOperator Theory 606 $aSeveral Complex Variables and Analytic Spaces 615 0$aFunctions of complex variables. 615 0$aFunctional analysis. 615 0$aOperator theory. 615 14$aFunctions of a Complex Variable. 615 24$aFunctional Analysis. 615 24$aOperator Theory. 615 24$aSeveral Complex Variables and Analytic Spaces. 676 $a515.9 700 $aMashreghi$b Javad$0472603 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910751391503321 996 $aLectures on Analytic Function Spaces and their Applications$93577850 997 $aUNINA