Geodesic
On~equiconvergence of expansions in trigonometric Fourier series and in principal functions of ordinary differential operators
Izvestiya. Mathematics , Tome 24 (1985) no. 3, pp. 567-582

Voir la notice de l'article provenant de la source Math-Net.Ru

A regularity concept is given for ordinary differential pencils of a general form in a space of vector-valued functions, and this concept is subjected to analysis. Theorems are established asserting that the Fourier series of an arbitrary vector-valued function in the system of eigenelements of the pencils is equiconvergent with the usual trigonometric Fourier series of the components of this vector-valued function. Bibliography: 7 titles. 
@article{IM2_1985_24_3_a6,
     author = {A. I. Vahabov},
     title = {On~equiconvergence of expansions in trigonometric {Fourier} series and in principal functions of ordinary differential operators},
     journal = {Izvestiya. Mathematics },
     pages = {567--582},
     publisher = {mathdoc},
     volume = {24},
     number = {3},
     year = {1985},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1985_24_3_a6/}
}
TY  - JOUR
AU  - A. I. Vahabov
TI  - On~equiconvergence of expansions in trigonometric Fourier series and in principal functions of ordinary differential operators
JO  - Izvestiya. Mathematics 
PY  - 1985
SP  - 567
EP  - 582
VL  - 24
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1985_24_3_a6/
LA  - en
ID  - IM2_1985_24_3_a6
ER  - 
%0 Journal Article
%A A. I. Vahabov
%T On~equiconvergence of expansions in trigonometric Fourier series and in principal functions of ordinary differential operators
%J Izvestiya. Mathematics 
%D 1985
%P 567-582
%V 24
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1985_24_3_a6/
%G en
%F IM2_1985_24_3_a6
A. I. Vahabov. On~equiconvergence of expansions in trigonometric Fourier series and in principal functions of ordinary differential operators. Izvestiya. Mathematics , Tome 24 (1985) no. 3, pp. 567-582. http://geodesic.mathdoc.fr/item/IM2_1985_24_3_a6/