Faculty Interest
Jameson CahillApplied Harmonic Analysis 
Xuemei ChenApplied Harmonic Analysis, Sparse Signal Recovery: compressed sensing, frame theory, and fast linear solvers for high dimensional data 

Dante De BlassieProbability: Brownian motion, reflected Brownian motion and conditioned Brownian motion; stochastic differential equations and diffusion processes; symmetric stable processes; exit times. 
Andres Contreras MarcilloCalculus of Variation, Nonlinear Analysis 

Joseph LakeyHarmonic Analysis: timefrequency analysis, wavelets, information theory and applications to signal processing, discrete dynamical systems. 

Emeritus Faculty 


Dick BagbyReal 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 SwartzFunctional Analysis: topological vector spaces, infinite matrices and gliding hump properties in sequence and function spaces, vector and operator valued series, vectorvalued measures, and integrals. 

Doug KurtzHarmonic Analysis: maximal functions, singular integrals, multipliers, LittlewoodPaley operators, weighted norm inequalities. 
Christopher StuartFunctional Analysis: uniform boundedness principles, barrelled spaces, the topological vector space properties of sequence spaces. 