On the completeness of the system {Zτn} in L2

  • Authors:

  • André Boivin;Changzhong Zhu

  • Affiliations:

  • Department of Mathematics, The University of Western Ontario, London, Ontario, Canada;Department of Mathematics, The University of Western Ontario, London, Ontario, Canada

  • Venue:
  • Journal of Approximation Theory
  • Year:
  • 2002

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Abstract

Given an unbounded domain Ω located outside an angle domain with vertex at the origin, and a sequence of distinct complex numbers {τn} (n = 1,2 ...) satisfying n/|τn| → D as n → ∞ with 0 D n)|zτn} (n = 1,2,...) in L2a[Ω]. The case with weight is also considered.