Ribera Puchades, Juan Miguel(Universitat Politècnica de València, 2015-05-11)
[EN] The Ph.D. Thesis "Atomic decompositions and frames in Fréchet spaces and their duals" presented here treats different areas of functional analysis with applications.
Schauder frames are used to represent an arbitrary ...
Bonet Solves, José Antonio; Fernandez Rosell, Carmen; Galbis Verdu, Antonio; Ribera Puchades, Juan Miguel(Duke University Press, 2017)
[EN] Frames and Bessel sequences in Fr\'echet spaces and their duals are defined and studied. Their relation with Schauder frames and representing systems is analyzed. The abstract results presented here, when applied to ...
Bonet Solves, José Antonio; FERNANDEZ, C.; GALBIS, A.; Ribera Puchades, Juan Miguel(Elsevier, 2014-02-15)
We study Schauder frames in Fréchet spaces and their duals, as well as perturbation
results. We define shrinking and boundedly complete Schauder frames on a locally convex
space, study the duality of these two concepts ...
Ribera Puchades, Juan Miguel(Universitat Politècnica de València, 2012-05-10)
This paper collect of some proofs of the Malgrange-Ehrenpreis Theorem, which asserts the existence of fundamental solutions of linear partial differential operator with constant coefficients.