6 citations · 15 across the 22 of their papers we have counts for
5 papers · 1 filter
Powers of Catalan generating functions for bounded operators
Pedro J. Miana, Natalia Romero
Let be the Catalan sequence and a linear and bounded operator on a Banach space such is a power-bounded operator. The Catalan generating function is…
Catalan generating functions for bounded operators
Pedro J. Miana, Natalia Romero
In this paper we study the solution of the quadratic equation where is a linear and bounded operator on a Banach space . We describe the spectrum set and the re…
Large time behaviour for the heat equation on moments and decay rates
Luciano Abadias, Jorge González-Camus, Pedro J. Miana +1
The paper is devoted to understand the large time behaviour and decay of the solution of the discrete heat equation in the one dimensional mesh on spaces, and its ana…
Hilbertian Hardy-Sobolev spaces on a half-plane
José E. Galé, Valentin Matache, Pedro J. Miana +1
In this paper we deal with a scale of reproducing kernel Hilbert spaces , , which are linear subspaces of the classical Hilbertian Hardy space on the right-hand…
RKH spaces of Brownian type defined by Cesàro-Hardy operators
José E. Galé, Pedro J. Miana, Luis Sánchez--Lajustici
We study reproducing kernel Hilbert spaces introduced as ranges of generalized Cesàro-Hardy operators, in one real variable and in one complex variable. Such spaces can be seen as…