2017
Том 69
№ 9

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An Interpolation Problem in the Class $R[a,b]$

Choque Rivero A. E., Dyukarev Yu. M.

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Abstract

We consider an interpolation problem for matrix functions of the class $R[a,b]$. In the nondegenerate case, we describe all solutions in terms of fractional linear transformations. An explicit formula for the resolvent matrix is obtained.

English version (Springer): Ukrainian Mathematical Journal 55 (2003), no. 8, pp 1265–1282.

Citation Example: Choque Rivero A. E., Dyukarev Yu. M. An Interpolation Problem in the Class $R[a,b]$ // Ukr. Mat. Zh. - 2003. - 55, № 8. - pp. 1044-1057.

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