Fourier coefficients of continous functions and functions of bounded variation

Author: vakhtang tsagareishvili
Co-authors: L.Gogoladze
Keywords: Fourier series, convergenc, coeffcients
Annotation:

We study problems of the absolute convergence of Fourier series with respect to general orthonormal systems,for functions in certain classes.We can distinguish among all orthonormal systems those,for which the Fourier series of every functions from Lip1 converges absolutely.

Lecture files:

უწყვეტი და სასრული ვარიაციის ფუნქციის ფურიეს კოეფიციენტები [ka]
Fourier coefficients of continuous functions and functions of bounded variation [en]