000			03113nam a22004815i 4500
001			978-3-7643-9996-2
003			DE-He213
005			20140220083819.0
007			cr nn 008mamaa
008			110621s2011 sz | s |||| 0|eng d
020			_a9783764399962 _9978-3-7643-9996-2
024	7		_a10.1007/978-3-7643-9996-2 _2doi
050		4	_aQA329-329.9
072		7	_aPBKF _2bicssc
072		7	_aMAT037000 _2bisacsh
082	0	4	_a515.724 _223
100	1		_aArlinskii, Yuri. _eauthor.
245	1	0	_aConservative Realizations of Herglotz-Nevanlinna Functions _h[electronic resource] / _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	_uhttp://dx.doi.org/10.1007/978-3-7643-9996-2
912			_aZDB-2-SMA
999			_c108706 _d108706