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Closed Form for Some Gaussian Convolutions

Published 10 Feb 2016 in math.CA, math.OC, and math.PR | (1602.05610v2)

Abstract: The convolution of a function with an isotropic Gaussian appears in many contexts such as differential equations, computer vision, signal processing, and numerical optimization. Although this convolution does not always have a closed form expression, there are important family of functions for which closed form exists. This article investigates some of such cases.

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