De Branges Spaces Of Entire Functions

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


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.


Hilbert Space Characteristic Function Bessel Function Entire Function Operator Identity 
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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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