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De Branges Spaces Of Entire Functions

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

Abstract

Lous de Branges [8] investigated a Hilbert space of entire functions H (E) in which the scalar product is defined by means of a certain entire function E (z). De Branges stated and solved the problem of description of measures in the Parseval equality for the space H (E) An exposition of de Branges’ results in terms of V.P.Potapov’s J-theory is given in the preprint by L.B.Golinsky and I. V. Mikhail ova (edited by V.P.Potapov) [19]. We consider this approach to be fruitful. Our exposition essentially follows it.

Keywords

Hilbert Space Characteristic Function Bessel Function Entire Function Operator Identity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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