Research Group on Differentiable Function Spaces and Algebras of Differentiable Functions

Description

The generic field of work is complex analysis in finite and infinite dimension. In a complex variable Dirichelt series. In several variables Borh radii. In infinite dimension linear theory, multilinear theory, local theory and geometry of Banach spaces, ideals of polynomial spaces and the study of algebras and Banach spaces of differentiable functions and their transformations.

Goals CT

Study of Hardy spaces in the infinite dimensional polytope and their relation with Dirichlet series spaces.

Research lines

Linear and multilinear applications
Properties of bounded operators between Banach spaces are studied, as well as multilinear applications and polynomials in Banach spaces and the spaces formed by these applications.
Complex analysis in finite and infinite dimension
Properties of holomorphic functions and Banach spaces and algebras whose elements are these functions are studied.
Time-frequency analysis, location operators, Stockwell transform and applications
The study of pseudo-differential operators with time-frequency analysis methods.

Management