LEADER 03898nam 22006855 450 001 9910372743503321 005 20251113211403.0 010 $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(ODN)ODN0010067470 035 $a(oapen)doab25955 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 /$fby Jussi Behrndt, Seppo Hassi, Henk de Snoo 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2020. 215 $a1 online resource (IX, 772 p. 1 illus.) 225 1 $aMonographs in Mathematics,$x2296-4886 ;$v108 311 08$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,$x2296-4886 ;$v108 606 $aOperator theory 606 $aDifferential equations 606 $aSystem theory 606 $aControl theory 606 $aOperator Theory 606 $aDifferential Equations 606 $aSystems Theory, Control 615 0$aOperator theory. 615 0$aDifferential equations. 615 0$aSystem theory. 615 0$aControl theory. 615 14$aOperator Theory. 615 24$aDifferential Equations. 615 24$aSystems Theory, Control. 676 $a515.724 686 $aMAT007000$aMAT037000$aSCI064000$2bisacsh 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 LEADER 03527nam 22007815 450 001 9910349274903321 005 20251225200458.0 010 $a3-030-31578-9 024 7 $a10.1007/978-3-030-31578-8 035 $a(CKB)4100000009522857 035 $a(DE-He213)978-3-030-31578-8 035 $a(MiAaPQ)EBC5968200 035 $a(PPN)255120435 035 $a(EXLCZ)994100000009522857 100 $a20190927d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aCryptology and Network Security $e18th International Conference, CANS 2019, Fuzhou, China, October 25?27, 2019, Proceedings /$fedited by Yi Mu, Robert H. Deng, Xinyi Huang 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (XIII, 540 p. 388 illus., 61 illus. in color.) 225 1 $aSecurity and Cryptology,$x2946-1863 ;$v11829 300 $aIncludes index. 311 08$a3-030-31577-0 327 $aHomomorphic Encryption -- SIKE and Hash -- Lattice and Post-quantum Cryptography -- Searchable Encryption -- Blockchains, Cloud Security -- Secret Sharing and Interval Test -- LWE -- Encryption, Data Aggregation, and Revocation -- Signature, ML, Payment, and Factorization. 330 $aThis book constitutes the refereed proceedings of the 18th International Conference on Cryptology and Network Security, CANS 2019, held in Fuzhou, China, in October 2019. The 21 full papers and 8 short papers were carefully reviewed and selected from 55 submissions. The papers focus on topics such as homomorphic encryption; SIKE and Hash; lattice and post-quantum cryptography; searchable encryption; blockchains, cloud security; secret sharing and interval test, LWE; encryption, data aggregation, and revocation; and signature, ML, payment, and factorization. 410 0$aSecurity and Cryptology,$x2946-1863 ;$v11829 606 $aCryptography 606 $aData encryption (Computer science) 606 $aSoftware engineering 606 $aArtificial intelligence 606 $aData mining 606 $aComputers, Special purpose 606 $aComputer networks 606 $aCryptology 606 $aSoftware Engineering 606 $aArtificial Intelligence 606 $aData Mining and Knowledge Discovery 606 $aSpecial Purpose and Application-Based Systems 606 $aComputer Communication Networks 615 0$aCryptography. 615 0$aData encryption (Computer science). 615 0$aSoftware engineering. 615 0$aArtificial intelligence. 615 0$aData mining. 615 0$aComputers, Special purpose. 615 0$aComputer networks. 615 14$aCryptology. 615 24$aSoftware Engineering. 615 24$aArtificial Intelligence. 615 24$aData Mining and Knowledge Discovery. 615 24$aSpecial Purpose and Application-Based Systems. 615 24$aComputer Communication Networks. 676 $a005.82 676 $a005.824 702 $aMu$b Yi$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aDeng$b Robert H$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aHuang$b Xinyi$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910349274903321 996 $aCryptology and Network Security$92968064 997 $aUNINA