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 

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Dante DeBlassie

Probability, stochastic processes and connections with analysis.

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Andres Contreras Marcillo

Calculus of Variation, Nonlinear Analysis
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Joseph Lakey

Harmonic Analysis: time-frequency analysis, wavelets, information theory and applications to signal processing, discrete dynamical systems.		 rsmits1-cf6cf8a395f59fee1df8c8d7c218b9ab.jpeg

 

Robert Smits

Stochastic analysis, Brownian motion, Heat kernels and Spectral theory with Applications to Mathematical Finance and Heat Transfer.
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Boyu Li

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

 

Emeritus Faculty 
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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.

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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.
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Doug Kurtz

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

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Christopher Stuart 

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