Cite this article as:
Strukova I. I. About harmonic analysis of periodic at infinity functions . Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 2014, vol. 14, iss. 1, pp. 28-38. DOI: https://doi.org/10.18500/1816-9791-2014-14-1-28-38
Language:
Russian
Heading:
UDC:
517.9
About harmonic analysis of periodic at infinity functions
Abstract:
We consider slowly varying and periodic at infinity multivariable functions in Banach space. We introduce the notion of Fourier series of periodic at infinity function, study the properties of Fourier series and their convergence. Basic results are derived with the use of isometric representations theory.
Key words:
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