About harmonic analysis of periodic at infinity functions

I. I. Strukova

Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 14 (2014) no. 1, pp. 28-38.

Résumé

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.

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