000			02865nam a22003858i 4500
001			CR9780511721427
003			UkCbUP
005			20200124160235.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			100303s2008||||enk o ||1 0|eng|d
020			_a9780511721427 (ebook)
020			_z9780521883009 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA331.7 _b.A76 2008
082	0	4	_a515.7 _222
100	1		_aArov, Damir Z., _eauthor.
245	1	0	_aJ-contractive matrix valued functions and related topics / _cDamir Z. Arov and Harry Dym.
246	3		_aJ-Contractive Matrix Valued Functions & Related Topics
264		1	_aCambridge : _bCambridge University Press, _c2008.
300			_a1 online resource (xi, 575 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aEncyclopedia of mathematics and its applications ; _vvolume 116
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_a1. Introduction -- 2. Algebraic preliminaries -- 3. Nevanlinna class of meromorphic mvf's -- 4. J-contractive and J-inner matrix valued functions -- 5. Reproducing kernel Kilbert spaces -- 6. Operator nodes and passive systems -- 7. Generalized interpolation problems -- 8. Generalized Krein extension problems -- 9. Darlington representations and related inverse problems -- 10. More criteria for strong regularity -- 11. Formulas for entropy functionals.
520			_aJ-contractive and J-inner matrix valued functions have a wide range of applications in mathematical analysis, mathematical physics, control engineering and theory of systems and networks. This book provides a comprehensive introduction to the theory of these functions with respect to the open upper half-plane, and a number of applications are also discussed. The first chapters develop the requisite background material from the geometry of finite dimensional spaces with an indefinite inner product, and the theory of the Nevanlinna class of matrix valued functions with bounded characteristic in the open upper half-plane (with attention to special subclasses). Subsequent chapters develop this theory to include associated pairs of inner matrix valued functions and reproducing kernel Hilbert spaces. Special attention is paid to the subclasses of regular and strongly regular J-inner matrix valued functions, which play an essential role in the study of the extension and interpolation problems.
650		0	_aFunctions of complex variables.
650		0	_aMatrices.
700	1		_aDym, H. _q(Harry), _d1938- _eauthor.
776	0	8	_iPrint version: _z9780521883009
830		0	_aEncyclopedia of mathematics and its applications ; _vv. 116.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511721427
999			_c518010 _d518008