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Hermitian-Positive Functions of Several Variables

  • L. A. Sakhnovich
Chapter
Part of the Mathematics and Its Applications book series (MAIA, volume 428)

Abstract

The Hermitian-positive functions play an essential role in a number of analysis problems (probability theory [47], inverse spectral problem [53] interpolation problems [53]). In many of these problems it becomes necessary to extend the Hermitian-positive functions onto a greater domain with the preservation of Hermitian positiveness. For the Hermitian-positive functions of one variable the extension problem was formulated and solved in the classical works by M.Krein [32] (see section 1.7). The extension problem of Hermitian-positive functions of two and more variables has been investigated much less.

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Copyright information

© Kluwer Academic Publishers 1997

Authors and Affiliations

  • L. A. Sakhnovich
    • 1
  1. 1.Ukrainian State Academy of CommunicationOdessaUkraine

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