Geodesic
Convergence of series of Fourier coefficients for multiplicative convolutions
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2008), pp. 27-39

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

We study the convergence of series with Fourier–Vilenkin coefficients for functions represented as multiplicative convolutions. In the trigonometric case similar results are obtained by C. Onneweer, M. Izumi, and S. Izumi. Moreover, we consider certain analogs of I. Hirshman and W. Rudin transformations of Fourier coefficients. Some results are proved to be unimprovable in a certain sense.
Keywords: absolute convergence, multiplicative systems
Mots-clés : multiplicative convolution. 
@article{IVM_2008_11_a2,
     author = {S. S. Volosivets},
     title = {Convergence of series of {Fourier} coefficients for multiplicative convolutions},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {27--39},
     publisher = {mathdoc},
     number = {11},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2008_11_a2/}
}
TY  - JOUR
AU  - S. S. Volosivets
TI  - Convergence of series of Fourier coefficients for multiplicative convolutions
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2008
SP  - 27
EP  - 39
IS  - 11
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2008_11_a2/
LA  - ru
ID  - IVM_2008_11_a2
ER  - 
%0 Journal Article
%A S. S. Volosivets
%T Convergence of series of Fourier coefficients for multiplicative convolutions
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2008
%P 27-39
%N 11
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2008_11_a2/
%G ru
%F IVM_2008_11_a2
S. S. Volosivets. Convergence of series of Fourier coefficients for multiplicative convolutions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2008), pp. 27-39. http://geodesic.mathdoc.fr/item/IVM_2008_11_a2/