Our main research area is the study of methods of functional analysis and operator theory and their applications to several areas of mathematical analysis, like complex analysis, Fourier analysis, dynamical systems, ergodic theory and linear partial differential operators.More precisely, we work in the following problems:
(1) Spaces of analytic and differentiable functions and operators between them: weighted spaces of analytic functions, weighted composition operators, integral operators, Cesàro and Volterra operators.
(2) Time-frequency analysis: Gabortransform, Fourier integral operators, weighted modulation spaces and applications to biomedical nonstationary signals.
(3) Linear partial differential and pseudo-differential operators on spaces of ultradifferentiable functions and ultradistributions: hypoellipticity, regularity of solutions, wave front set and extension of smooth functions.
|Beltrán Meneu, María José||Universitat Jaume I, Castellón|
|Fernández Rosell, Carmen||Universitat de València|
|Galbis Verdú, Antonio||Universitat de València|
|Tárraga Primo, Eva||Universitat de València|