000			03085nam a22003858i 4500
001			CR9781139093514
003			UkCbUP
005			20200124160236.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			110523s2012||||enk o ||1 0|eng|d
020			_a9781139093514 (ebook)
020			_z9781107018877 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA378.5 _b.A76 2012
082	0	0	_a515/.45 _223
100	1		_aArov, Damir Z., _eauthor.
245	1	0	_aBitangential direct and inverse problems for systems of integral and differential equations / _cDamir Z. Arov, Harry Dym.
246	3		_aBitangential Direct & Inverse Problems for Systems of Integral & Differential Equations
264		1	_aCambridge : _bCambridge University Press, _c2012.
300			_a1 online resource (xiv, 472 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 145
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aIntroduction -- Canonical systems and related differential equations -- Matrix-valued functions in the Nevanlinna class -- Interpolation problems, resolvent matrices and de Branges spaces -- Chains that are matrizants and chains of associated pairs -- The bitangential direct input scattering problems -- Bitangential direct input impedance and spectral problems -- Inverse monodromy problems -- Bitangential Krein extension problems -- Bitangential inverse input scattering problems -- Bitangential inverse input impedance and spectral problems -- Direct and inverse problems for Dirac-Krein systems.
520			_aThis largely self-contained treatment surveys, unites and extends some 20 years of research on direct and inverse problems for canonical systems of integral and differential equations and related systems. Five basic inverse problems are studied in which the main part of the given data is either a monodromy matrix; an input scattering matrix; an input impedance matrix; a matrix valued spectral function; or an asymptotic scattering matrix. The corresponding direct problems are also treated. The book incorporates introductions to the theory of matrix valued entire functions, reproducing kernel Hilbert spaces of vector valued entire functions (with special attention to two important spaces introduced by L. de Branges), the theory of J-inner matrix valued functions and their application to bitangential interpolation and extension problems, which can be used independently for courses and seminars in analysis or for self-study. A number of examples are presented to illustrate the theory.
650		0	_aInverse problems (Differential equations)
650		0	_aIntegral equations.
700	1		_aDym, Harry, _d1934- _eauthor.
776	0	8	_iPrint version: _z9781107018877
830		0	_aEncyclopedia of mathematics and its applications ; _vv. 145.
856	4	0	_uhttps://doi.org/10.1017/CBO9781139093514
999			_c518126 _d518124