Geodesic
On the Dirichlet matrix operators in sequence spaces
Artur Sowa1
1 Department of Mathematics and Statistics University of Saskatchewan 106 Wiggins Road Saskatoon, SK S7N 5E6, Canada
Applicationes Mathematicae, Tome 44 (2017) no. 2, pp. 185-196.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We study the analytic properties of certain special operators, referred to as D-matrix operators, which arise naturally from classical Dirichlet series. There are a number of incentives for this work, including the applicability of D-matrix operators to signal processing via fast computational algorithms. It was observed in a prior publication that certain types of D-matrix operators are continuous in $\ell _2$ (Sowa 2013). In this work the focus is on a complementary case that arises in relation to the special D-matrix associated with Riemann’s zeta function, and on its continuity properties in suitable Hilbert and Banach sequence spaces.
DOI : 10.4064/am2328-4-2017
Keywords: study analytic properties certain special operators referred d matrix operators which arise naturally classical dirichlet series there number incentives work including applicability d matrix operators signal processing via fast computational algorithms observed prior publication certain types d matrix operators continuous ell sowa work focus complementary arises relation special d matrix associated riemann zeta function its continuity properties suitable hilbert banach sequence spaces

Artur Sowa 1

1 Department of Mathematics and Statistics University of Saskatchewan 106 Wiggins Road Saskatoon, SK S7N 5E6, Canada 
@article{10_4064_am2328_4_2017,
     author = {Artur Sowa},
     title = {On the {Dirichlet} matrix operators in sequence spaces},
     journal = {Applicationes Mathematicae},
     pages = {185--196},
     publisher = {mathdoc},
     volume = {44},
     number = {2},
     year = {2017},
     doi = {10.4064/am2328-4-2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/am2328-4-2017/}
}
TY  - JOUR
AU  - Artur Sowa
TI  - On the Dirichlet matrix operators in sequence spaces
JO  - Applicationes Mathematicae
PY  - 2017
SP  - 185
EP  - 196
VL  - 44
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/am2328-4-2017/
DO  - 10.4064/am2328-4-2017
LA  - en
ID  - 10_4064_am2328_4_2017
ER  - 
%0 Journal Article
%A Artur Sowa
%T On the Dirichlet matrix operators in sequence spaces
%J Applicationes Mathematicae
%D 2017
%P 185-196
%V 44
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/am2328-4-2017/
%R 10.4064/am2328-4-2017
%G en
%F 10_4064_am2328_4_2017
Artur Sowa. On the Dirichlet matrix operators in sequence spaces. Applicationes Mathematicae, Tome 44 (2017) no. 2, pp. 185-196. doi : 10.4064/am2328-4-2017. http://geodesic.mathdoc.fr/articles/10.4064/am2328-4-2017/

Cité par Sources :