2248 records matched your query       

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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 Birkhäuser, 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 Kreĭn's formula for intermediate extensions -- $t Kreĭn'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 Kreĭn'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 Schrödinger operator -- $t A boundary triplet for the maximal Schrödinger operator -- $t Semibounded Schrödinger operators -- $t Coupling of Schrödinger 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
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956    $a http://locator.silo.lib.ia.us/search.cgi?index_0=id&term_0=32E6A67286E611EB80D4A9DB35ECA4DB