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.
Faculty Interest
Jameson Cahill
Applied Harmonic Analysis
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Xuemei Chen
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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.
Tiziana Giorgi
Nonlinear Partial Differential Equations, Calculus of Variation
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Andres Contreras Marcillo
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Calculus of Variation, Nonlinear Analysis
Joseph 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
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Dick Bagby
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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.
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Chuck Swartz
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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.
Doug Kurtz
Harmonic Analysis: maximal functions, singular integrals, multipliers, Littlewood-Paley operators, weighted norm inequalities.