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06304aam a2200469 i 4500 001 32E6A67286E611EB80D4A9DB35ECA4DB 003 SILO 005 20210317010020 008 200208t20202020sz a b 001 0 eng c 020 $a 3030367134 020 $a 9783030367138 035 $a (OCoLC)1140081422 040 $a OHX $b eng $e rda $c OHX $d SYB $d BDX $d UMC $d OCLCF $d YDXIT $d STF $d IQU $d YDX $d LQU $d NUI $d SILO 042 $a pcc 050 4 $a QA379 $b .B44 2020 050 4 $a QA379 $b .B44 v. 108 072 7 $a QA $2 lcco 082 04 $a 515.724 100 1 $a Behrndt, Jussi, $e author. 245 10 $a Boundary value problems, Weyl functions, and differential operators / $c Jussi Behrndt, Seppo Hassi, Henk de Snoo. 264 1 $a Cham, Switzerland : $b BirkhaÌuser, Springer, $c [2020] 300 $a vii, 772 pages : $b illustrations ; $c 25 cm. 490 1 $a Monographs in mathematics, $x 1017-0480 ; $v Volume 108 540 $a "This book is an open access publication ... licensed under the terms of the Creative Commons Attribution 4.0 International License ( http://creativecommons.org/licenses/by/4.0/ )."--Page iv. 520 8 $a "A comprehensive survey of modern operator techniques for boundary value problems and spectral theory, employing abstract boundary mappings and Weyl functions."--Back cover. 504 $a Includes bibliographical references (pages 721-764) and index. 505 00 $g Index. $g Introduction -- $t Factorization of Bounded Linear Operators -- $t Elementary facts about linear relations -- $t Spectra, resolvent sets, and points of regular type -- $t Adjoint relations -- $t Symmetric relations -- $t Self-adjoint relations -- $t Maximal dissipative and accumulative relations -- $t Intermediate extensions and von Neumann's formulas -- $t Adjoint relations and indefinite inner products -- $t Convergence of sequences of relations -- $t Parametric representations for relations -- $t Resolvent operators with respect to a bounded operator -- $t Nevanlinna families and their representations -- $t Boundary Triplets and Weyl Functions -- $t Boundary triplets -- $t Boundary value problems -- $t Associated ...-fields and Weyl functions -- $t Existence and construction of boundary triplets -- $t Transformations of boundary triplets -- $t KreiÌn's formula for intermediate extensions -- $t KreiÌn's formula for exit space extensions -- $t Perturbation problems -- $t Spectra, Simple Operators, and Weyl Functions -- $t Analytic descriptions of minimal supports of Borel measures -- $t Growth points of finite Borel measures -- $t Spectra of self-adjoint relations -- $t Simple symmetric operators -- $t Eigenvalues and eigenspaces -- $t Spectra and local minimality -- $t Limit properties of Weyl functions -- $t Spectra and local minimality for self-adjoint extensions -- $t Operator Models for Nevanlinna Functions -- $t Reproducing kernel Hilbert spaces -- $t Realization of uniformly strict Nevanlinna functions -- $t Realization of scalar Nevanlinna functions via L²-space models -- $t Realization of Nevanlinna pairs and generalized resolvents -- $t KreiÌn's formula for exit space extensions -- $t Orthogonal coupling of boundary triplets -- $t Boundary Triplets and Boundary Pairs for Semibounded Relations -- $t Closed semibounded forms and their representations -- $t Ordering and monotonicity -- $t Friedrichs extensions of semibounded relations -- $t Semibounded self-adjoint extensions and their lower bounds -- $t Boundary triplets for semibounded relations -- $t Boundary pairs and boundary triplets -- $t Sturm-Liouville Operators -- $t Sturm-Liouville differential expressions -- $t Maximal and minimal Sturm-Liouville differential operators -- $t Regular and limit-circle endpoints -- $t The case of one limit-point endpoint -- $t The case of two limit-point endpoints and interface conditions -- $t Exit space extensions -- $t Weyl functions and subordinate solutions -- $t Semibounded Sturm-Liouville expressions in the regular case -- $t Closed semibounded forms for Sturm-Liouville equations -- $t Principal and nonprincipal solutions of Sturm-Liouville equations -- $t Semibounded Sturm-Liouville operators and the limit-circle case -- $t Semibounded Sturm-Liouville operators and the limit-point case -- $t Integrable potentials -- $t Canonical Systems of Differential Equations -- $t Classes of integrable functions -- $t Canonical systems of differential equations -- $t Regular and quasiregular endpoints -- $t Square-integrability of solutions of real canonical systems -- $t Definite canonical systems -- $t Maximal and minimal relations for canonical systems -- $t Boundary triplets for the limit-circle case -- $t Boundary triplets for the limit-point case -- $t Weyl functions and subordinate solutions -- $t Special classes of canonical systems -- $t Schrodinger Operators on Bounded Domains -- $t Rigged Hilbert spaces -- $t Sobolev spaces, C²-domains, and trace operators -- $t Trace maps for the maximal SchroÌdinger operator -- $t A boundary triplet for the maximal SchroÌdinger operator -- $t Semibounded SchroÌdinger operators -- $t Coupling of SchroÌdinger operators -- $t Bounded Lipschitz domains -- $t Integral Representations of Nevanlinna Functions -- $t Borel transforms and their Stieltjes inversion -- $t Scalar Nevanlinna functions -- $t Operator-valued integrals -- $t Operator-valued Nevanlinna functions -- $t Kac functions -- $t Stieltjes and inverse Stieltjes functions -- $t Self-adjoint Operators and Fourier Transforms -- $t The scalar case -- $t The vector case -- $t Sums of Closed Subspaces in Hilbert Spaces -- $t Factorization of Bounded Linear Operators -- $g Notes -- $g Bibliography -- $g List of Symbols -- $g Index. 650 0 $a Boundary value problems. 650 0 $a Boundary value problems $x Weyl theory. 650 0 $a Differential operators. 650 0 $a Spectral theory (Mathematics) 650 7 $a Boundary value problems. $2 fast $0 (OCoLC)fst00837122 650 7 $a Boundary value problems $x Weyl theory. $2 fast $0 (OCoLC)fst00837132 650 7 $a Differential operators. $2 fast $0 (OCoLC)fst00893496 650 7 $a Spectral theory (Mathematics) $2 fast $0 (OCoLC)fst01129072 776 08 $z 9783030367145 $i e-book version 700 1 $a Hassi, Seppo, $e author. 700 1 $a Snoo, Henk de, $e author. 830 0 $a Monographs in mathematics ; $v v. 108. $x 1017-0480 941 $a 1 952 $l OVUX522 $d 20220317020134.0 956 $a http://locator.silo.lib.ia.us/search.cgi?index_0=id&term_0=32E6A67286E611EB80D4A9DB35ECA4DBInitiate Another SILO Locator Search