Andrew Raich
University of Arkansas
Title
A Generalized Bochner-Martinelli Plemelj Jump Formula and Integral Kernel Methods to solve d-bar_M
Abstract
Solving the tangential Cauchy-Riemann equations on higher codimension CR manifolds is a relatively unexplored topic. In this talk, I have two goals. The first is to discuss a Bochner-Martinelli Plemelj jump formula for smooth, embedded, and generic CR manifolds. The jump formula reduces to the standard jump formula in the case the CR manifold is a hypersurface. The second goal is use the new jump formula and integral kernel techniques to solve the tangential Cauchy-Riemann equations on smooth, embedded q-convex CR manifolds. This work is joint with Al Boggess of Arizona State University.
