000 03488nam a22005055i 4500
001 978-94-007-4753-1
003 DE-He213
005 20140220083347.0
007 cr nn 008mamaa
008 120706s2012 ne | s |||| 0|eng d
020 _a9789400747531
_9978-94-007-4753-1
024 7 _a10.1007/978-94-007-4753-1
_2doi
050 4 _aQA319-329.9
072 7 _aPBKF
_2bicssc
072 7 _aMAT037000
_2bisacsh
082 0 4 _a515.7
_223
100 1 _aSchmüdgen, Konrad.
_eauthor.
245 1 0 _aUnbounded Self-adjoint Operators on Hilbert Space
_h[electronic resource] /
_cby Konrad Schmüdgen.
264 1 _aDordrecht :
_bSpringer Netherlands :
_bImprint: Springer,
_c2012.
300 _aXX, 432 p. 2 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aGraduate Texts in Mathematics,
_x0072-5285 ;
_v265
505 0 _aI Basics onClosed Operators -- 1 Closed Operators and Adjoint Operators -- 2 Spectrum of Closed Operators -- 3 Some Classes of Unbounded Operators -- II Spectral Theory -- 4 Spectral Measures and Spectral Integrals -- 5 Spectral Decomposition of Selfadjoint and Normal Operators -- III Special Topics -- 6 One-Parameter Groups and Semigroups of Operators -- 7 Miscellaneous -- IV Petirbations of Selfadjointness and of Spectra of Selfadjoint Operators -- 8 Perturbations of Selfadjoint Operators -- 9 Trace Class Perturbations of Spectra of Selfadjoint Operators -- V Forms and Operators -- 10 Semibounded Forms and Selfadjoint Operators -- 11 Sectorial Forms and m-Sectorial Operators -- 12 Discrete Spectrum of Selfadjoint Operators -- VI Selfadjoint Extention Theory of Symmetric Operators -- 13 Selfajoint Extensions: Cayley Transform and Krein Transform -- 14 Selfadjoint Extensions: Boundary Triplets -- 15 Sturm-Liouville Operators -- One-Dimensional Moment Problem.
520 _aThe book is a graduate text on unbounded self-adjoint operators on Hilbert space and their spectral theory with the emphasis on applications in mathematical physics (especially, Schrödinger  operators) and analysis (Dirichlet and Neumann Laplacians, Sturm-Liouville operators, Hamburger moment problem) . Among others, a number of advanced special topics   are treated on a text book level  accompanied by numerous illustrating examples and exercises. The main themes of the book are the following: - Spectral integrals and  spectral decompositions of self-adjoint and normal operators - Perturbations of self-adjointness and of spectra of self-adjoint operators - Forms and operators - Self-adjoint extension theory :boundary triplets, Krein-Birman-Vishik theory of positive self-adjoint extension
650 0 _aMathematics.
650 0 _aFunctional analysis.
650 0 _aOperator theory.
650 0 _aMathematical physics.
650 1 4 _aMathematics.
650 2 4 _aFunctional Analysis.
650 2 4 _aMathematical Methods in Physics.
650 2 4 _aOperator Theory.
650 2 4 _aMathematical Physics.
650 2 4 _aTheoretical, Mathematical and Computational Physics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9789400747524
830 0 _aGraduate Texts in Mathematics,
_x0072-5285 ;
_v265
856 4 0 _uhttp://dx.doi.org/10.1007/978-94-007-4753-1
912 _aZDB-2-SMA
999 _c104810
_d104810