Analysis Group

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 

Dante DeBlassie

Probability, stochastic processes and connections with analysis.

Andres Contreras Marcillo

Calculus of Variation, Nonlinear Analysis

Joseph Lakey

Harmonic Analysis: time-frequency analysis, wavelets, information theory and applications to signal processing, discrete dynamical systems.

Boyu Li

Functional analysis, operator algebra and operator theory related to self-similar actions and semigroups.

Emeritus Faculty

Richard (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.

Douglas (Doug) Kurtz

Harmonic Analysis: maximal functions, singular integrals, multipliers, Littlewood-Paley operators, weighted norm inequalities.

Christopher Stuart

Functional Analysis: uniform boundedness principles, barrelled spaces, the topological vector space properties of sequence spaces.

 

Charles (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.