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New Mexico State University
New Mexico State University

Analysis Group

Shibin Dai Nonlinear Partial Differential Equations: calculus of variations, asymptotic analysis and free boundary problems, with applications in physical, biological and materials sciences.
Dante De Blassie Probability: Brownian motion, reflected Brownian motion and conditioned Brownian motion; stochastic differential equations and diffusion processes; symmetric stable processes; exit times.
Tiziana Giorgi Nonlinear Partial Differential Equations: existence, uniqueness (up to a guage) and stability of minimizers to energy funtionals with applications to superconductivity.
Doug Kurtz Harmonic Analysis: maximal functions, singular integrals, multipliers, Littlewood-Paley operators, weighted norm inequalities.
Joe Lakey Harmonic Analysis: time-frequency analysis, wavelets, information theory and applications to signal processing, discrete dynamical systems.
Robert Smits Stochastic and Harmonic Analysis: stochastic differential equations, spectral theory, asymptotic analysis, heat kernels, large deviations, mathematical finance, eigenvalue estimates.
Christopher Stuart Functional Analysis: uniform boundedness principles, barrelled spaces, the topological vector space properties of sequence spaces.
Emeritus Faculty
Dick Bagby 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.
Chuck Swartz 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.

Group Activities:

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.

Last modified: 2014-03-07 09:42:42 leisher