3 papers
math.FA2020
Poisson equation and discrete one-sided Hilbert transform for -bounded operators
Luciano Abadias, José E. Galé, Carlos Lizama
We characterize the solutions of the Poisson equation and the domain of its associated one-sided Hilbert transform for Cesàro bounded operators of fractional order. The results obt…
math.FA2016
On stability of -times integrated semigroups with nonquasianalytic growth
José E. Galé, María M. Martínez, Pedro J. Miana
We discuss the behaviour at infinity of -times integrated semigroups with nonquasianalytic growth and invertible generator. The results obtained extend in this setting a theorem…
math.FA2014
Reproducing kernels and positivity of vector bundles in infinite dimensions
Daniel Beltita, José E. Galé
We investigate the interaction between the existence of reproducing kernels on infinite-dimensional Hermitian vector bundles and the positivity properties of the corresponding bund…