Acta mathematica scientia,Series A

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On Zeros of Analytic Functions in Half Plane

Deng Guantie   

  1. Department of Mathematics, Beijing Normal University, Beijing 100875
  • Received:2003-09-13 Revised:2005-01-10 Online:2006-02-25 Published:2006-02-25
  • Contact: Deng Guantie

Abstract: A necessary and sufficient condition is given for the existence of an analytic function belonging to the weighted Hardy space in the half-plane, which is not identically zero but is zero on a given sequence in the half-plane.

Key words: Analytic function, Weighted Hardy space, Existence

CLC Number: 

  • 30D50
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