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vls/2603nrwcece.visuallibrary.netvdRecent progress in function theory and operator theoryAMS Special Session on Recent Progress in Function Theory and Operator Theory, April 6, 2022, virtualAMS Special Session Recent Progress in Function Theory and Operator Theory 2022 OnlineautCondori, Alberto A.1980-HerausgeberedtPozzi, Elodie1984-HerausgeberVerfasseredtautRoss, William T.1964-HerausgeberedtSola, Alan Albert1981-HerausgeberedttextTextKonferenzschriftbookxxuXD-USProvidence, Rhode IslandAmerican Mathematical Society[2024]© 20242024monographicengprintvii, 215 Seiten : Illustrationenohne Hilfsmittel zu benutzenBandThis volume contains the proceedings of the AMS Special Session on Recent Progress in Function Theory and Operator Theory, held virtually on April 6, 2022. Function theory is a classical subject that examines the properties of individual elements in a function space, while operator theory usually deals with concrete operators acting on such spaces or other structured collections of functions. These topics occupy a central position in analysis, with important connections to partial differential equations, spectral theory, approximation theory, and several complex variables. With the aid of certain canonical representations or “models”, the study of general operators can often be reduced to that of the operator of multiplication by one or several independent variables, acting on spaces of analytic functions or compressions of this operator to co-invariant subspaces. In this way, a detailed understanding of operators becomes connected with natural questions concerning analytic functions, such as zero sets, constructions of functions constrained by norms or interpolation, multiplicative structures granted by factorizations in spaces of analytic functions, and so forth. In many cases, non-obvious problems initially motivated by operator-theoretic considerations turn out to be interesting on their own, leading to unexpected challenges in function theory. The research papers in this volume deal with the interplay between function theory and operator theory and the way in which they influence each other.Alberto A. Condori, Elodie Pozzi, William T. Ross, Alan A. Sola (editors)Operator theoryFunctions of complex variablesOperator theory -- Special classes of linear operators -- Operators on function spaces (general)Operator theory -- Special classes of linear operators -- Operators on special spaces (weighted shifts, operators on sequence spaces, etc.)Operator theory -- Special classes of linear operators -- Toeplitz operators, Hankel operators, Wiener-Hopf operatorsOperator theory -- Special classes of linear operators -- Operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces)Functions of a complex variable -- Function theory on the disc -- Blaschke productsFunctions of a complex variable -- Function theory on the disc -- Inner functionsFunctions of a complex variable -- Spaces and algebras of analytic functions -- BMO-spacesFunctions of a complex variable -- Spaces and algebras of analytic functions -- Hardy spacesQA32947B38 47B37 47B35 47B32 30J10 30J05 30H35 30H1031.4231.4797814704724672023053403144234693499374518346106441HT030826536Online-Ausgabe9781470476120Contemporary mathematics799(DE-605)HT001236816https://zbmath.org/786031649HBZ_WUP49HBZ_PAD49HBZ_ULBrda24082920260511133558.02606529ger https://ce.visuallibrary.net//domainresource/static/graphics/connectors/viewerLogo.gif http://193.30.112.129:83/F/?func=find-c&ccl_term=ICS%3D2606529 https://ce.visuallibrary.net/id/1393418 https://ce.visuallibrary.net/i3f/v20/1393418/manifest https://ce.visuallibrary.net/proto_ftsearch/1393418