LEADER 04471 am 22007453u 450 001 9910372743503321 005 20230125221900.0 010 $a3-030-36714-2 024 7 $a10.1007/978-3-030-36714-5 035 $a(CKB)4900000000505024 035 $a(DE-He213)978-3-030-36714-5 035 $a(MiAaPQ)EBC6111529 035 $a(Au-PeEL)EBL6111529 035 $a(OCoLC)1138959235 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/25955 035 $a(PPN)24284555X 035 $a(EXLCZ)994900000000505024 100 $a20200103d2020 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aBoundary Value Problems, Weyl Functions, and Differential Operators$b[electronic resource] /$fby Jussi Behrndt, Seppo Hassi, Henk de Snoo 205 $a1st ed. 2020. 210 $aCham$cSpringer Nature$d2020 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2020. 215 $a1 online resource (IX, 772 p. 1 illus.) 225 1 $aMonographs in Mathematics,$x1017-0480 ;$v108 311 $a3-030-36713-4 327 $aLinear relations -- Boundary triplets and Weyl functions -- Spectra and Weyl functions -- Operator models -- Nonnegative selfadjoint extensions -- Sturm-Liouville operators -- Canonical systems -- Schrodinger operators -- Sums of closed subspaces in a Hilbert space -- Factorization of bounded linear operators -- Integral representations of Carathéodory functions -- The integral representation of Nevanlinna functions. 330 $aThis open access book presents a comprehensive survey of modern operator techniques for boundary value problems and spectral theory, employing abstract boundary mappings and Weyl functions. It includes self-contained treatments of the extension theory of symmetric operators and relations, spectral characterizations of selfadjoint operators in terms of the analytic properties of Weyl functions, form methods for semibounded operators, and functional analytic models for reproducing kernel Hilbert spaces. Further, it illustrates these abstract methods for various applications, including Sturm-Liouville operators, canonical systems of differential equations, and multidimensional Schrödinger operators, where the abstract Weyl function appears as either the classical Titchmarsh-Weyl coefficient or the Dirichlet-to-Neumann map. The book is a valuable reference text for researchers in the areas of differential equations, functional analysis, mathematical physics, and system theory. Moreover, thanks to its detailed exposition of the theory, it is also accessible and useful for advanced students and researchers in other branches of natural sciences and engineering. 410 0$aMonographs in Mathematics,$x1017-0480 ;$v108 606 $aOperator theory 606 $aDifferential equations 606 $aPartial differential equations 606 $aSystem theory 606 $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139 606 $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aSystems Theory, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/M13070 610 $aMathematics 610 $aOperator theory 610 $aDifferential equations 610 $aPartial differential equations 610 $aSystem theory 615 0$aOperator theory. 615 0$aDifferential equations. 615 0$aPartial differential equations. 615 0$aSystem theory. 615 14$aOperator Theory. 615 24$aOrdinary Differential Equations. 615 24$aPartial Differential Equations. 615 24$aSystems Theory, Control. 676 $a515.724 700 $aBehrndt$b Jussi$4aut$4http://id.loc.gov/vocabulary/relators/aut$0321452 702 $aHassi$b Seppo$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $ade Snoo$b Henk$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910372743503321 996 $aBoundary Value Problems, Weyl Functions, and Differential Operators$92172901 997 $aUNINA