Deconvolution of 3-D Gaussian kernels

Abstract

Ulmer and Kaissl formulas for the deconvolution of one-dimensional Gaussian kernels are generalized to the three-dimensional case. The generalization is based on the use of the scalar version of the Grad's multivariate Hermite polynomials which can be expressed through ordinary Hermite polynomials.

12 pages, to be published in Physics Letters A

References in corpus (4)

• Non-perturbative spectrum of non-local gravity
• An Alternative Definition of the Hermite Polynomials Related to the Dunkl Laplacian
• Aspects of the physical principles of the proton therapy with inclusion of nuclear interactions
• Non-local imprints of gravity on quantum theory