Albert Boggess

activity

20092021

most citedThe

□_{b}

-heat equation on quadric manifolds

1 citations · 1 across the 3 of their papers we have counts for

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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.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…

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

Heat Kernels, Smoothness Estimates and Exponential Decay

The □b​-heat equation on quadric manifolds

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

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