| 000 | 03773nam a22005895i 4500 | ||
|---|---|---|---|
| 001 | 978-3-030-36714-5 | ||
| 003 | DE-He213 | ||
| 005 | 20240828123401.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 200103s2020 sz | s |||| 0|eng d | ||
| 020 |
_a9783030367145 _9978-3-030-36714-5 |
||
| 024 | 7 |
_a10.1007/978-3-030-36714-5 _2doi |
|
| 050 | 4 | _aQA329-329.9 | |
| 072 | 7 |
_aPBKF _2bicssc |
|
| 072 | 7 |
_aMAT037000 _2bisacsh |
|
| 072 | 7 |
_aPBKF _2thema |
|
| 082 | 0 | 4 |
_a515.724 _223 |
| 100 | 1 |
_aBehrndt, Jussi. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _94826 |
|
| 245 | 1 | 0 |
_aBoundary Value Problems, Weyl Functions, and Differential Operators _h[electronic resource] / _cby Jussi Behrndt, Seppo Hassi, Henk de Snoo. |
| 250 | _a1st ed. 2020. | ||
| 264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Birkhäuser, _c2020. |
|
| 300 |
_aIX, 772 p. 1 illus. _bonline resource. |
||
| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 347 |
_atext file _bPDF _2rda |
||
| 490 | 1 |
_aMonographs in Mathematics, _x2296-4886 ; _v108 |
|
| 505 | 0 | _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. | |
| 506 | 0 | _aOpen Access | |
| 520 | _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. | ||
| 650 | 0 | _aOperator theory. | |
| 650 | 0 | _aDifferential equations. | |
| 650 | 0 |
_aSystem theory. _9260 |
|
| 650 | 0 | _aControl theory. | |
| 650 | 1 | 4 | _aOperator Theory. |
| 650 | 2 | 4 | _aDifferential Equations. |
| 650 | 2 | 4 | _aSystems Theory, Control. |
| 700 | 1 |
_aHassi, Seppo. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _94833 |
|
| 700 | 1 |
_ade Snoo, Henk. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _94834 |
|
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783030367138 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783030367152 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783030367169 |
| 830 | 0 |
_aMonographs in Mathematics, _x2296-4886 ; _v108 _94835 |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-030-36714-5 |
| 912 | _aZDB-2-SMA | ||
| 912 | _aZDB-2-SXMS | ||
| 912 | _aZDB-2-SOB | ||
| 999 |
_c443820 _d443820 |
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