000 | 03091nam a22004695i 4500 | ||
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001 | u377029 | ||
003 | SIRSI | ||
005 | 20160812084442.0 | ||
007 | cr nn 008mamaa | ||
008 | 110621s2011 sz | s |||| 0|eng d | ||
020 |
_a9783764399962 _9978-3-7643-9996-2 |
||
040 | _cMX-MeUAM | ||
050 | 4 | _aQA329-329.9 | |
082 | 0 | 4 |
_a515.724 _223 |
100 | 1 |
_aArlinskii, Yuri. _eauthor. |
|
245 | 1 | 0 |
_aConservative Realizations of Herglotz-Nevanlinna Functions _h[recurso electrónico] / _cby Yuri Arlinskii, Sergey Belyi, Eduard Tsekanovskii. |
264 | 1 |
_aBasel : _bSpringer Basel, _c2011. |
|
300 |
_aXVIII, 530 p. _bonline resource. |
||
336 |
_atext _btxt _2rdacontent |
||
337 |
_acomputer _bc _2rdamedia |
||
338 |
_aonline resource _bcr _2rdacarrier |
||
347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aOperator Theory: Advances and Applications ; _v217 |
|
505 | 0 | _aPreface -- 1 Extensions of Symmetric Operators -- 2 Rigged Hilbert Spaces -- 3 Bi-extensions of Closed Symmetric Operators.-.4 Quasi-self-adjoint Extensions -- 5 The Livsic Canonical Systems with Bounded Operators -- 6 Herglotz-Nevanlinna functions and Rigged Canonical Systems -- 7 Classes of realizable Herglotz-Nevanlinna functions -- 8 Normalized Canonical Systems -- 9 Canonical L-systems with Contractive and Accretive Operators -- 10 Systems with Schrödinger operator -- 11 Non-self-adjoint Jacobi Matrices and System Interpolation -- 12 Non-canonical Systems -- Notes and Comments -- References -- Index. | |
520 | _aThis book is devoted to conservative realizations of various classes of Stieltjes, inverse Stieltjes, and general Herglotz-Nevanlinna functions as impedance functions of linear systems. The main feature of the monograph is a new approach to the realization theory profoundly involving developed extension theory in triplets of rigged Hilbert spaces and unbounded operators as state-space operators of linear systems. The connections of the realization theory to systems with accretive, sectorial, and contractive state-space operators as well as to the Phillips-Kato sectorial extension problem, the Krein-von Neumann and Friedrichs extremal extensions are provided. Among other results the book contains applications to the inverse problems for linear systems with non-self-adjoint Schrödinger operators, Jacobi matrices, and to the Nevanlinna-Pick system interpolation. | ||
650 | 0 | _aMathematics. | |
650 | 0 | _aOperator theory. | |
650 | 0 | _aMathematical physics. | |
650 | 1 | 4 | _aMathematics. |
650 | 2 | 4 | _aOperator Theory. |
650 | 2 | 4 | _aMathematical Methods in Physics. |
700 | 1 |
_aBelyi, Sergey. _eauthor. |
|
700 | 1 |
_aTsekanovskii, Eduard. _eauthor. |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783764399955 |
830 | 0 |
_aOperator Theory: Advances and Applications ; _v217 |
|
856 | 4 | 0 |
_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-7643-9996-2 |
596 | _a19 | ||
942 | _cLIBRO_ELEC | ||
999 |
_c204909 _d204909 |