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Interpolation, Schur Functions and Moment Problems II

Engelsk Hardback

Interpolation, Schur Functions and Moment Problems II

Engelsk Hardback
Tjek vores konkurrenters priser

The 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.​

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The 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.​

Produktdetaljer
Sprog: Engelsk
Sider: 302
ISBN-13: 9783034804271
Indbinding: Hardback
Udgave:
ISBN-10: 303480427X
Udg. Dato: 24 jul 2012
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Birkhauser Verlag AG
Oplagsdato: 24 jul 2012
Forfatter(e):
Forfatter(e)


Kategori Kompleks analyse, komplekse variabler


ISBN-13 9783034804271


Sprog Engelsk


Indbinding Hardback


Sider 302


Udgave


Længde 0mm


Bredde 155mm


Højde 235mm


Udg. Dato 24 jul 2012


Oplagsdato 24 jul 2012


Forlag Birkhauser Verlag AG

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