1 citations · 1 across the 5 of their papers we have counts for
5 papers
The Fundamental Solution to on Quadric Manifolds -- Part 1. General Formulas
Albert Boggess, Andrew Raich
This paper is the first of a three part series in which we explore geometric and analytic properties of the Kohn Laplacian and its inverse on general quadric submanifolds of $\math…
On the Hartogs extension theorem for unbounded domains in
Al Boggess, Roman Dwilewicz, Egmont Porten
Let , , be a domain with smooth connected boundary. If is relatively compact, the Hartogs-Bochner theorem ensures that every CR distribution on $…
Fundamental Solutions to on Certain Quadrics
Albert Boggess, Andrew Raich
The purpose of this article is to expand the number of examples for which the complex Green operator, that is, the fundamental solution to the Kohn Laplacian, can be computed. We u…
A Simplified Calculation for the Fundamental Solution to the Heat Equation on the Heisenberg Group
Albert Boggess, Andrew Raich
Let where is a complex number, , , and are the left invariant vector fields of the Heisenberg group structure for $R^n…
Global approximation of CR functions on Bloom-Graham model graphs in
Albert Boggess, Daniel Jupiter
We define a class of generic CR submanifolds of of real codimension , with in , called the Bloom-Graham model graphs, whose graphing functions are partial…