Classes of functions and Fourier series

Author: koba ivanadze
Keywords: Fourier series, Abel and Cesaro means
Annotation:

The paper is kind of abstract. In the first Chapter the Reisz and Fischer theorem and the properties of orthonormal systems are considered. The second Chapter deals with the Marcinskiewcz theorem. In the third Chapter the existence of an conjugate function is considered. Chapter 4, Chapter 5 and Chapter 6 deals with (C; 1)and Abel means of Fourier series. In Chapter 7 the majorants of (C; 1) and Abel means of Fourier series are given.

Lecture files:

ფუნქციათა კლასები და ფურიეს მწკვრივები [ka]