00744nam0-2200265 --450 991064819540332120230309102143.0978303562331420230309d2022----kmuy0itay5050----bagerCHa c 001yyAalto im detailein katalog der bauteileCéline Dietziker, Lukas GruntzBaselBirkhäuser2022463 p.ill.20 cmAalto, AlvarDietziker,Céline1302792Gruntz,Lukas1302793ITUNINARICAUNIMARCBK9910648195403321MON B 19001129/2022FARBCFARBCAalto im detail3026596UNINA02988nam 22006135 450 991030025650332120211006152126.03-319-16059-110.1007/978-3-319-16059-7(CKB)3710000000521682(SSID)ssj0001584794(PQKBManifestationID)16264775(PQKBTitleCode)TC0001584794(PQKBWorkID)14865484(PQKB)11737600(DE-He213)978-3-319-16059-7(MiAaPQ)EBC6310449(MiAaPQ)EBC5586711(Au-PeEL)EBL5586711(OCoLC)1066180730(PPN)190515457(EXLCZ)99371000000052168220151113d2015 u| 0engurnn#008mamaatxtccrAn Advanced Complex Analysis Problem Book Topological Vector Spaces, Functional Analysis, and Hilbert Spaces of Analytic Functions /by Daniel Alpay1st ed. 2015.Cham :Springer International Publishing :Imprint: Birkhäuser,2015.1 online resource (IX, 521 p.)Bibliographic Level Mode of Issuance: Monograph3-319-16058-3 Includes bibliographical references and index.Prologue -- Part I, Analytic functions -- 1 Some algebra -- 2 Exercises in complex variables -- Part II, Topology and functional analysis -- 3 Topological spaces -- 4 Normed spaces -- 5 Locally convex topological vector spaces -- 6 Some functional analysis -- Part III, Hilbert spaces of analytic functions -- 7 Reproducing kernel Hilbert spaces -- 8 Hardy spaces -- 9 de Branges-Rovnyak spaces -- 10 Bergman spaces -- 11 Fock spaces -- Index -- Name index -- Notation index.This is an exercises book at the beginning graduate level, whose aim is to illustrate some of the connections between functional analysis and the theory of functions of one variable. A key role is played by the notions of positive definite kernel and of reproducing kernel Hilbert space. A number of facts from functional analysis and topological vector spaces are surveyed. Then, various Hilbert spaces of analytic functions are studied.Functional analysisOperator theoryFunctional Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12066Operator Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M12139Functional analysis.Operator theory.Functional Analysis.Operator Theory.515.7Alpay Danielauthttp://id.loc.gov/vocabulary/relators/aut54298MiAaPQMiAaPQMiAaPQBOOK9910300256503321An Advanced Complex Analysis Problem Book2503203UNINA