• Corpus ID: 236469460

On the Properties of the Anisotropic Multivariate Hermite-Gauss Functions

  title={On the Properties of the Anisotropic Multivariate Hermite-Gauss Functions},
  author={Shlomi Steinberg and Omer Eugeciouglu and Ling-Qi Yan},
The Hermite-Gauss basis functions have been extensively employed in classical and quantum optics due to their convenient analytic properties. A class of multivariate Hermite-Gauss functions, the anisotropic HermiteGauss functions, arise by endowing the standard univariate Hermite-Gauss functions with a positive definite quadratic form. These multivariate functions admit useful applications in optics, signal analysis and probability theory, however they have received little attention in… 



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