Some Contexts Common for the Number Theory and Harmonic Analysis

Some contexts common for harmonic analysis and number theory are considered. Elements of harmonic analysis are presented in contexts of Rieman integrals, improper integrals, prime finite fields and finite Abelian groups. Contexts of symmetric properties of functions and theory of measure are conside...

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Bibliographic Details
Published in:Cybernetics and systems analysis 2003-01, Vol.39 (1), p.113
Main Authors: Glazunov, N M, Kapitonova, Yu V
Format: Article
Language:English
Subjects:
Computer programming
Cybernetics
Fourier transforms
Harmonic analysis
Integrals
Mathematical analysis
Mathematical functions
Ordinary differential equations
Studies
System theory
Systems analysis
Trigonometry
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Summary:Some contexts common for harmonic analysis and number theory are considered. Elements of harmonic analysis are presented in contexts of Rieman integrals, improper integrals, prime finite fields and finite Abelian groups. Contexts of symmetric properties of functions and theory of measure are considered in brief. Applications of the methods and results from the above contexts to some problems of number theory are given. [PUBLICATION ABSTRACT]
ISSN:1060-0396
1573-8337