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The completely indeterminate Caratheodory matrix problem in the Rq[a, b] class
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Abdon Eddy Choque Rivero
Published/Copyright:
September 25, 2009
The goal of this paper is to solve the Caratheodory interpolation problem in the class Rq[a,b] of matrix-functions with the help of the V. P. Potapov´s fundamental matrix Inequality method. In the completely indeterminate case, the general solution is described in terms of a linear fractional transformation.
Received: 2007-January-18
Revised: 2007-September-21
Published Online: 2009-09-25
Published in Print: 2008-02
© Oldenbourg Wissenschaftsverlag
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Articles in the same Issue
- The Dirichlet problem for graphs of prescribed anisotropic mean curvature in ℝn+1
- On the value distribution of two differential monomials
- The completely indeterminate Caratheodory matrix problem in the Rq[a, b] class
- Sum of the periodic zeta-function over the nontrivial zeros of the Riemann zeta-function
- On representations of Stokes flows and of the solutions of Navier's equation for linear elasticity
- Asymptotic analysis of generalized Hermite polynomials
- Some convergence theorems for Lebesgue integrals
- The zeros of certain differential polynomials
