## Analysis Group

Faculty | |
---|---|

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