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One-sided tangential interpolation for operator-valued Hardy functions on polydisks

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Abstract

All solutions of one-sided tangential interpolation problems with Hilbert norm constraints for operator-valued Hardy functions on the polydisk are described. The minimal norm solution is explicitly expressed in terms of the interpolation data.

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The research of this author is partially supported by NSF grant DMS 9800704, and by the Faculty Research Assignment grant from the College of William and Mary.

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Alpay, D., Bolotnikov, V. & Rodman, L. One-sided tangential interpolation for operator-valued Hardy functions on polydisks. Integr equ oper theory 35, 253–270 (1999). https://doi.org/10.1007/BF01193902

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