International Journal of Advances in Mathematics
International Journal of Advances in Mathematics
2456-6098
Volume 2018
Number 3
2018
May
01
Interpolation and Semi-group on Hilbert and Hardy Spaces of Dirichlet Series
66
80
EN
Ali
Mohamed
Abu Oam
Faculty of Pure and Applied Sciences,
Department of Mathematics and Computer, International University of Africa, Sudan.
asam295@hotmail.com
We investigate that a bounded sequence of points in the half plane $\sigma > \frac{1}{2}$ is an interpolating sequence for Hilbert space of ordinary Dirichlet series with square summable coefficiens. Also, in the half plane $\sigma > \frac{1}{2}$ we discuss the wold decomposition for the shift semi group on the Hardy space of square summable Dirichlet series. The local behavior of Hilbert space of Dirichlet series is considered, relative to the functions spaces on the infinite dimensional polydisk, and we generate some results for each case.
Interpolating sequence,Hilbert and Hardy spaces, Dirichlet series and infinite dimensional polydisk.
http://adv-math.com/interpolation-semi-group-hilbert-hardy-spaces-dirichlet-series/
http://adv-math.com/wp-content/uploads/2018/05/201771.pdf