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001482479 001__ 1482479
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001482479 019__ $$a1404340346$$a1404365279$$a1404445791
001482479 020__ $$a9783031335723$$q(electronic bk.)
001482479 020__ $$a3031335724$$q(electronic bk.)
001482479 020__ $$z9783031335716
001482479 020__ $$z3031335716
001482479 0247_ $$a10.1007/978-3-031-33572-3$$2doi
001482479 035__ $$aSP(OCoLC)1404821849
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001482479 049__ $$aISEA
001482479 050_4 $$aQA331$$b.L43 2023
001482479 08204 $$a515/.73$$223/eng/20231019
001482479 24500 $$aLectures on analytic function spaces and their applications /$$cJavad Mashreghi, editor.
001482479 264_1 $$aCham :$$bSpringer,$$c2023.
001482479 300__ $$a1 online resource (xv, 416 pages) :$$billustrations.
001482479 336__ $$atext$$btxt$$2rdacontent
001482479 337__ $$acomputer$$bc$$2rdamedia
001482479 338__ $$aonline resource$$bcr$$2rdacarrier
001482479 4901_ $$aFields Institute monographs,$$x2194-3079 ;$$vvolume 39
001482479 504__ $$aIncludes bibliographical references and index.
001482479 5050_ $$aHardy 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.
001482479 506__ $$aAccess limited to authorized users.
001482479 520__ $$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. More explicitly, 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.
001482479 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed October 19, 2023).
001482479 650_0 $$aAnalytic functions.
001482479 650_0 $$aHilbert space.
001482479 650_6 $$aFonctions analytiques.
001482479 650_6 $$aEspace de Hilbert.
001482479 655_0 $$aElectronic books.
001482479 7001_ $$aMashreghi, Javad,$$eeditor.
001482479 77608 $$iPrint version: $$z3031335716$$z9783031335716$$w(OCoLC)1376758237
001482479 830_0 $$aFields Institute monographs ;$$v39.$$x2194-3079
001482479 852__ $$bebk
001482479 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-33572-3$$zOnline Access$$91397441.1
001482479 909CO $$ooai:library.usi.edu:1482479$$pGLOBAL_SET
001482479 980__ $$aBIB
001482479 980__ $$aEBOOK
001482479 982__ $$aEbook
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