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Interrelations Between the Taylor Coefficients of a Matricial Carathéodory Function and Its Cayley Transform
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Abdon Eddy Choque Rivero
,
Bernd Fritzsche
Published/Copyright:
July 29, 2016
Abstract
The main goal of this paper is to discuss several interrelations between the Taylor coefficients of a q x q matrix-valued Carathéodory function and its Cayley transform which is a q x q matrix Schur function. Both Taylor coefficient sequences are described in terms of corresponding matrix balls. Hereby, we will obtain explicit formulas for the parameters of one matrix ball in terms of the other one. These expressions imply a one-to-one correspondence between central matricial Carathéodory functions and central matricial Schur functions which is established via Cayley transform.
Published Online: 2016-7-29
Published in Print: 2005-5-1
© 2016 Oldenbourg Wissenschaftsverlag GmbH, Rosenheimer Str. 145, 81671 München
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Articles in the same Issue
- Masthead
- A nonlinear-stability analysis of second-order fluid in porous medium in presence of magnetic field
- Convergence rate for some additive function on random permutations
- The converse of the Fabry-Pólya theorem on singularities of lacunary power series
- On meromorphic functions that share one value with their derivative
- Interrelations Between the Taylor Coefficients of a Matricial Carathéodory Function and Its Cayley Transform
- Domains of uniform convergence of real rational chebyshev approximants
- Regular statistical convergence of multiple sequences
