On the zeros of functions with finite Dirichlet integral and some related function spaces

@inproceedings{Shields2005OnTZ,
  title={On the zeros of functions with finite Dirichlet integral and some related function spaces},
  author={Aomawa L. Shields},
  year={2005}
}
(A set {z~} is called a set o/ uniqueness for the class D if there is no /~ D ( / ~ 0 ) vanishing at all these points.) He noted that a n earlier result of LOKm [9] was incorrect. (The 1955 Ergebnisse tract of W:TX:CH [13] quotes only the LOKK: result.) CARLESON also pointed out that if the {z,} all lie on one radius, then the necessary and sufficient condition for the existence of an lED with these zeros is: Y0-1z l)< oo. Indeed, taking the radius to be the unit interval and letting B(z) be… CONTINUE READING
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