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 
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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

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