Andrew Raich

activity

20052021

R \times C

4 citations · 5 across the 5 of their papers we have counts for

collaborators

5 papers

math.CV2021

The Fundamental Solution to $□_{b}$ on Quadric Manifolds -- Part 4. Nonzero Eigenvalues

Albert Boggess, Andrew Raich

This paper is the fourth of a multi-part series in which we study the geometric and analytic properties of the Kohn Laplacian and its inverse on general quadric submanifolds of $\m…

math.CA2019

Distributions with Decay and Restriction Problems

G. Hoepfner, A. Raich

In this paper we introduce a new type of restriction problem, called the \textit{restriction problem with moments}. We show that the surface area measure of the sphere satisfies th…

math.CV2010

Heat Kernels, Smoothness Estimates and Exponential Decay

Albert Boggess, Andrew Raich

In this article, we establish Gaussian decay for the Box_b-heat kernel on polynomial models in C^2. Our technique attains the exponential decay via a partial Fourier transform. On…

math.CV2009★ 1 cited

The $□_{b}$ -heat equation on quadric manifolds

Albert Boggess, Andrew Raich

In this article, we give an explicit calculation of the partial Fourier transform of the $□_{b}$ -heat equation on quadric submanifolds of $M \subset C^{n} \times C^{m}$ . As a consequenc…

math.CV2005★ 4 cited

Heat Equations in $R \times C$

Andrew Raich

Let $p : C \to R$ be a subharmonic, nonharmonic polynomial and $τ$ a real parameter. Define $Z ˉ_{τ p} = \partial_{z ˉ} + τ p_{z ˉ}$ , a closed, densely-define…

The Fundamental Solution to □b​ on Quadric Manifolds -- Part 4. Nonzero Eigenvalues

Distributions with Decay and Restriction Problems

Heat Kernels, Smoothness Estimates and Exponential Decay

The □b​-heat equation on quadric manifolds

Heat Equations in R×C

The Fundamental Solution to $□_{b}$ on Quadric Manifolds -- Part 4. Nonzero Eigenvalues

The $□_{b}$ -heat equation on quadric manifolds

Heat Equations in $R \times C$