A Bitangential Interpolation Problem on the Closed Unit Ball by Ball J.A., Bolotnikov V.

By Ball J.A., Bolotnikov V.

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Extra resources for A Bitangential Interpolation Problem on the Closed Unit Ball for Multipliers of the Arveson Space

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Dym, J contractive matrix functions, reproducing kernel spaces and interpolation, CBMS Lecture Notes, vol. 71, Amer. Math. , Rhodes Island, 1989. [24] G. Julia, Extension nouvelle d’un lemme de Schwarz, Acta Math. 42 (1920), 349–355. [25] V. Katsnelson, A. Kheifets, and P. Yuditskii. An abstract interpolation problem and the extension theory of isometric operators. in: Topics in Interpolation Theory (Ed. H. Dym, B. Fritzsche, V. Katsnelson, and B. Kirstein), Operator Theory: Advances and Applications OT 95, pages 283–297.

Gohberg and L. Rodman, Boundary Nevanlinna-Pick interpolation for rational matrix functions, J. Math. Systems, Estimation, and Control 1 (1991), 131164. A. W. Helton, Interpolation problems of Pick-Nevanlinna and Loewner types for meromorphic matrix-functions: parametriztion of the set of all solutions, Integral Equations and Operator Theory 9 (1986), 155-203. [16] J. A. Ball, T. T. Trent and V. A. Kaashoek Anniversary Volume (Workshop in Amsterdam, Nov. 1997), pages 89-138, OT 122, Birkhauser-Verlag, Basel-Boston-Berlin, 2001.

Math. Anal. , 227 (1998), 227–250. [32] P. Quiggin, For which reproducing kernel Hilbert spaces is Pick’s theorem true? Integral Equations Operator Theory 16 (1993), no. 2, 244–266. [33] I. V. P. Potapov, S even Papers Translated from the Russian, Amer. Math. Soc. Transl. , 1988. ¨ [34] R. Nevanlinna, Uber beschr¨ ankte Funktionen, Ann. Acad. Sci. Fenn. Ser. A 32 (1939), no. 7. 164 Ball and Bolotnikov IEOT [35] M. Rosenblum and J. Rovnyak, Hardy classes and operator theory, Oxford University Press, 1985.

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