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On a diagonal Padé approximation in two complex variables

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Summary

A special type diagonal Padé approximation for a class of hermitian power series in two variables is related to a canonical strong-operator topology, finite-rank approximation of cyclic operators. The expected convergence of the process (uniform or in measure) is derived from operator theory facts.

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Authors and Affiliations

  1. Department of Mathematics, University of California, 93106-3080, Santa Barbara, CA, USA

    M. Putinar

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  1. M. Putinar
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Paper partially supported by the National Science Foundation Grant DMS-9800666

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Putinar, M. On a diagonal Padé approximation in two complex variables. Numer. Math. 93, 131–152 (2002). https://doi.org/10.1007/BF02679440

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  • DOI: https://doi.org/10.1007/BF02679440

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