With the support of the National Science Foundation, our group organizes the annual New Mexico Analysis Seminar jointly with analysts from the University of New Mexico.
Applied Harmonic Analysis
Applied Harmonic Analysis, Sparse Signal Recovery: compressed sensing, frame theory, and fast linear solvers for high dimensional data
Dante De Blassie
Probability: Brownian motion, reflected Brownian motion and conditioned Brownian motion; stochastic differential equations and diffusion processes; symmetric stable processes; exit times.
Andres Contreras Marcillo
Calculus of Variation, Nonlinear Analysis
Harmonic Analysis: time-frequency analysis, wavelets, information theory and applications to signal processing, discrete dynamical systems.
Real and Harmonic Analysis: Classical analysis in Euclidean space. Convolution and Fourier multipliers. Continuity properties of operators and bounds for maximal functions in terms of function space norms. Questions of pointwise convergence.
Functional Analysis: topological vector spaces, infinite matrices and gliding hump properties in sequence and function spaces, vector and operator valued series, vector-valued measures, and integrals.
Harmonic Analysis: maximal functions, singular integrals, multipliers, Littlewood-Paley operators, weighted norm inequalities.
Functional Analysis: uniform boundedness principles, barrelled spaces, the topological vector space properties of sequence spaces.