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010   $a3-319-16059-1
024 7 $a10.1007/978-3-319-16059-7
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035   $a(DE-He213)978-3-319-16059-7
035   $a(MiAaPQ)EBC6310449
035   $a(MiAaPQ)EBC5586711
035   $a(Au-PeEL)EBL5586711
035   $a(OCoLC)1066180730
035   $a(PPN)190515457
035   $a(EXLCZ)993710000000521682
100   $a20151113d2015      u|         0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt
182   $cc
183   $acr
200 13$aAn Advanced Complex Analysis Problem Book $eTopological Vector Spaces, Functional Analysis, and Hilbert Spaces of Analytic Functions /$fby Daniel Alpay
205   $a1st ed. 2015.
210  1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2015.
215   $a1 online resource (IX, 521 p.)
300   $aBibliographic Level Mode of Issuance: Monograph
311 08$a3-319-16058-3 
320   $aIncludes bibliographical references and index.
327   $aPrologue -- 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.
330   $aThis 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.
606   $aFunctional analysis
606   $aOperator theory
606   $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066
606   $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139
615  0$aFunctional analysis.
615  0$aOperator theory.
615 14$aFunctional Analysis.
615 24$aOperator Theory.
676   $a515.7
700   $aAlpay$b Daniel$4aut$4http://id.loc.gov/vocabulary/relators/aut$054298
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910300256503321
996   $aAn Advanced Complex Analysis Problem Book$92503203
997   $aUNINA