FILTER FUNCTIONS WITH EXPONENTIAL CONVERGENCE ORDER

DENK, R (1994) FILTER FUNCTIONS WITH EXPONENTIAL CONVERGENCE ORDER. MATHEMATISCHE NACHRICHTEN, 169. pp. 107-115. ISSN 0025-584X,

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Abstract

Oversampled functions can be evaluated using generalized sine-series and filter functions connected with these series. A standard filter function is given by exp ((zeta(2) - 1)(-1)). We show that the Fourier transform of this filter posseses the convergence order O(exp (- root x)), improving an estimation given in [10]. Moreover, we define a family of filter functions with convergence order O(x . exp (- x(sigma))) with sigma arbitrary close to 1.

Item Type: Article
Uncontrolled Keywords: ;
Depositing User: Dr. Gernot Deinzer
Last Modified: 19 Oct 2022 08:41
URI: https://pred.uni-regensburg.de/id/eprint/53578

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