000 02774nam a22004815i 4500
001 978-3-0348-0428-8
003 DE-He213
005 20140220083254.0
007 cr nn 008mamaa
008 120723s2012 sz | s |||| 0|eng d
020 _a9783034804288
_9978-3-0348-0428-8
024 7 _a10.1007/978-3-0348-0428-8
_2doi
050 4 _aQA329-329.9
072 7 _aPBKF
_2bicssc
072 7 _aMAT037000
_2bisacsh
082 0 4 _a515.724
_223
100 1 _aAlpay, Daniel.
_eeditor.
245 1 0 _aInterpolation, Schur Functions and Moment Problems II
_h[electronic resource] /
_cedited by Daniel Alpay, Bernd Kirstein.
264 1 _aBasel :
_bSpringer Basel :
_bImprint: Birkhäuser,
_c2012.
300 _aV, 300 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 ;
_v226
520 _aThe origins of Schur analysis lie in a 1917 article by Issai Schur in which he constructed a numerical sequence to correspond to a holomorphic contractive function on the unit disk. These sequences are now known as Schur parameter sequences. Schur analysis has grown significantly since its beginnings in the early twentieth century and now encompasses a wide variety of problems related to several classes of holomorphic functions and their matricial generalizations. These problems include interpolation and moment problems as well as Schur parametrization of particular classes of contractive or nonnegative Hermitian block matrices. This book is primarily devoted to topics related to matrix versions of classical interpolation and moment problems. The major themes include Schur analysis of nonnegative Hermitian block Hankel matrices and the construction of Schur-type algorithms. This book also covers a number of recent developments in orthogonal rational matrix functions, matrix-valued Carathéodory functions and maximal weight solutions for particular matricial moment problems on the unit circle.
650 0 _aMathematics.
650 0 _aFunctions of complex variables.
650 0 _aIntegral Transforms.
650 0 _aOperator theory.
650 1 4 _aMathematics.
650 2 4 _aOperator Theory.
650 2 4 _aIntegral Transforms, Operational Calculus.
650 2 4 _aFunctions of a Complex Variable.
700 1 _aKirstein, Bernd.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783034804271
830 0 _aOperator Theory: Advances and Applications ;
_v226
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-0348-0428-8
912 _aZDB-2-SMA
999 _c101747
_d101747