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Reproducing kernels and multiple interpolation by holomorphic functions. (English) Zbl 0613.30003

The author considers multiple interpolation problems for holomorphic functions. In particular, results in the simple interpolation problems for holomorphic functions which are due F. Beatrous and the reviewer [Trans. Am. Math. Soc. 284, 247-270 (1984; Zbl 0574.32024)] and S. Saitoh [Complex analysis and applications, Proc. Conf., Varna/Bulg. 1985, 580-591 (1986; reviewed above)] are extended, by using similar methods.
Reviewer: J.Burbea

MSC:

30C40 Kernel functions in one complex variable and applications
46E20 Hilbert spaces of continuous, differentiable or analytic functions
32A25 Integral representations; canonical kernels (Szegő, Bergman, etc.)

Citations:

Zbl 0574.32024
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