Filter functions with exponential convergence order

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1994
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Mathematische Nachrichten. 1994, 169(1), pp. 107-115
Zusammenfassung

Oversampled functions can be evaluated using generalized sinc-series and filter functions connected with these series. First we consider a standard filter defined by terms of the exponential function . We show that the Fourier transform of this filter posseses exponential convergence order where in the exponent the square root of the independent variable appears. This improves an estimate given in a paper of F. Natterer. Moreover, we define a more general family of filter functions with exponential convergence order where now in the exponent the power of the independent variable is arbitrary close to 1.

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510 Mathematik
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ISO 690DENK, Robert, 1994. Filter functions with exponential convergence order. In: Mathematische Nachrichten. 1994, 169(1), pp. 107-115
BibTex
@article{Denk1994Filte-643,
  year={1994},
  title={Filter functions with exponential convergence order},
  number={1},
  volume={169},
  journal={Mathematische Nachrichten},
  pages={107--115},
  author={Denk, Robert}
}
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