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Generalization of Kravchenko—Kotelnikov theorem by spectra of compactly supported infinitely differentiable functions
- Authors: Budunova K.A.1, Kravchenko V.F.1,2,3, Pustovoit V.I.2,3
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Affiliations:
- Kotelnikov Institute of Radio Engineering and Electronics of RAS
- Scientific and Technological Centre of Unique Instrumentation of RAS
- Bauman Moscow State Technical University
- Issue: Vol 484, No 4 (2019)
- Pages: 405-409
- Section: Informatics
- URL: https://journals.eco-vector.com/0869-5652/article/view/12547
- DOI: https://doi.org/10.31857/S0869-56524844405-409
- ID: 12547
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Abstract
New generalization of Kravchenko–Kotelnikov theorem by spectra of compactly supported infinitely differentiable functions is discussed. These functions are solutions of linear integral equations of special form. The spectrum of is a multiple infinite product of the spectra of atomic functions. dilated by the argument. Constructed generalized series has fast convergence. This property is confirmed by the presented truncation error bound formula and the results of a numerical experiment.
About the authors
K. A. Budunova
Kotelnikov Institute of Radio Engineering and Electronics of RAS
Author for correspondence.
Email: 1917schw@mail.ru
Russian Federation, 11-7, Mokhovaya street, Moscow, 125009
V. F. Kravchenko
Kotelnikov Institute of Radio Engineering and Electronics of RAS; Scientific and Technological Centre of Unique Instrumentation of RAS; Bauman Moscow State Technical University
Email: 1917schw@mail.ru
Russian Federation, 11-7, Mokhovaya street, Moscow, 125009; 15, Bytlerova street, Moscow, 117342; 5, 2-nd Baumanskaya, Moscow, 105005
V. I. Pustovoit
Scientific and Technological Centre of Unique Instrumentation of RAS; Bauman Moscow State Technical University
Email: 1917schw@mail.ru
Academician of the RAS
Russian Federation, 15, Bytlerova street, Moscow, 117342; 5, 2-nd Baumanskaya, Moscow, 105005References
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