Geodesic
An estimate of the stability of interpolation of signals with a finite Fourier spectrum and a computational experiment
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 29 (1989) no. 11, pp. 1737-1740

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A stability bound is derived and a computational experiment is conducted for the interpolation of signals with a finite Fourier spectrum (or interpolation of the Fourier spectrum of finite signals) The interpolation is conducted by the method previously proposed by one of the authors, which uses a simple interpolation formula for analytical functions from the Wiener class. The method can be applied to suppress noise concentrated in a certain frequency band in cases which require inversion of the Radon transform using incomplete data in computer tomography and other situations. 
@article{ZVMMF_1989_29_11_a13,
     author = {L. A. Aizenberg and B. A. Kravtsov and B. A. Shaimkulov},
     title = {An estimate of the stability of interpolation of signals with a finite {Fourier} spectrum and a computational experiment},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1737--1740},
     publisher = {mathdoc},
     volume = {29},
     number = {11},
     year = {1989},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1989_29_11_a13/}
}
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L. A. Aizenberg; B. A. Kravtsov; B. A. Shaimkulov. An estimate of the stability of interpolation of signals with a finite Fourier spectrum and a computational experiment. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 29 (1989) no. 11, pp. 1737-1740. http://geodesic.mathdoc.fr/item/ZVMMF_1989_29_11_a13/