000			03317nam a22004935i 4500
001			978-3-7643-7547-8
003			DE-He213
005			20161121231035.0
007			cr nn 008mamaa
008			100301s2006 sz | s |||| 0|eng d
020			_a9783764375478 _9978-3-7643-7547-8
024	7		_a10.1007/3-7643-7547-7 _2doi
050		4	_aQA329-329.9
072		7	_aPBKF _2bicssc
072		7	_aMAT037000 _2bisacsh
082	0	4	_a515.724 _223
245	1	0	_aInterpolation, Schur Functions and Moment Problems _h[electronic resource] / _cedited by Daniel Alpay, Israel Gohberg.
264		1	_aBasel : _bBirkhäuser Basel, _c2006.
300			_aXI, 304 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, Linear Operators and Linear Systems ; _v165
505	0		_aBasic Boundary Interpolation for Generalized Schur Functions and Factorization of Rational J-unitary Matrix Functions -- Discrete Analogs of Canonical Systems with Pseudo-exponential Potential. Inverse Problems -- Boundary Nevanlinna—Pick Interpolation Problems for Generalized Schur Functions -- A Truncated Matricial Moment Problem on a Finite Interval -- Shift Operators Contained in Contractions, Schur Parameters and Pseudocontinuable Schur Functions -- The Matricial Carathéodory Problem in Both Nondegenerate and Degenerate Cases -- A Gohberg-Heinig Type Inversion Formula Involving Hankel Operators.
520			_aSchur analysis originates with an 1917 article of Schur where he associated to a function, which is analytic and contractive in the open unit disk, a sequence, finite or infinite, of numbers in the open unit disk, called Schur coefficients. In signal processing, they are often named reflection coefficients. Under the word "Schur analysis" one encounters a variety of problems related to Schur functions, such as interpolation problems, moment problems, the study of the relationships between the Schur coefficients and the properties of the function, or the study of underlying operators. Such questions are also considered for some generalizations of Schur functions. Furthermore, there is an extension of the notion of a Schur function for functions that are analytic and have a positive real part in the open upper half-plane; these functions are called Carathéodory functions. This volume is almost entirely dedicated to the analysis of Schur and Carathéodory functions and to the solutions of problems for these classes.
650		0	_aMathematics.
650		0	_aFunctional analysis.
650		0	_aOperator theory.
650		0	_aSystem theory.
650	1	4	_aMathematics.
650	2	4	_aOperator Theory.
650	2	4	_aSystems Theory, Control.
650	2	4	_aFunctional Analysis.
700	1		_aAlpay, Daniel. _eeditor.
700	1		_aGohberg, Israel. _eeditor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783764375461
830		0	_aOperator Theory: Advances and Applications, Linear Operators and Linear Systems ; _v165
856	4	0	_uhttp://dx.doi.org/10.1007/3-7643-7547-7
912			_aZDB-2-SMA
950			_aMathematics and Statistics (Springer-11649)
999			_c507678 _d507678