CONVERGENCE ASPECTS OF BAND-LIMITED SIGNALS

Marcus Protzmann - Holger Boche

   In [Estalilla, 1] convergence aspects of bandlimited signals were discussed and it was shown that convergence in the square mean implies uniform convergence. The reverse question, which asks for convergence in the square mean following from pointwise convergence, could not be answered affirmatively. This paper gives the answer to this question, the proof and an example.

Keywords: Bandlimited signals, convergence properties, uniform and pointwise convergence, convergence in the square mean.

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