P. Miana

activity

20092026

most citedSharp extensions and algebraic properties for solution families of vector-valued differential equations

6 citations · 15 across the 22 of their papers we have counts for

collaborators

23 papers

math.FA2026

Entire groups generated by fractional powers of operators

Rodrigo Barberán, Pedro J. Miana

Let $T$ be a power-bounded operator on a Banach space $X$ . We treat the sequence of polynomials $(p_{n; a})_{n \geq 0}$ such that the entire group generated by the fractional power op…

math.FA2026

Cesàro-Hardy operators on $L^{p} [0, 1]$ : fine spectrum, weighted Koopman semigroups and invariant subspaces

Luciano Abadías, Alejandro Mahillo, Pedro J. Miana

In this paper we study boundedness and detailed spectral properties for the Cesàro-Hardy operator and some generalizations in $L^{p} [0, 1]$ . The study employs $C_{0}$ -semigroup theory,…

math.FA2025

Two Koopman semigroups on discrete Lebesgue spaces

Pedro J. Miana

In this paper we are interested to connect Koopman semigroups in Lebesgue funcion spaces $L^{p} (R^{+})$ and $C_{0}$ -semigroups in Lebesgue sequence spaces $ℓ^{p}$ for $1 \leq p < \infty$ …

math.FA2024

Powers of Catalan generating functions for bounded operators

Pedro J. Miana, Natalia Romero

Let $c = (C_{n})_{n \geq 0}$ be the Catalan sequence and $T$ a linear and bounded operator on a Banach space $X$ such $4 T$ is a power-bounded operator. The Catalan generating function is…

math.FA2024

Catalan generating functions for bounded operators

Pedro J. Miana, Natalia Romero

In this paper we study the solution of the quadratic equation $T Y^{2} - Y + I = 0$ where $T$ is a linear and bounded operator on a Banach space $X$ . We describe the spectrum set and the re…

math.AP2024★ 1 cited

Large time behaviour for the heat equation on $Z,$ 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 $Z$ on $ℓ^{p}$ spaces, and its ana…