Localisation of Geometric Anisotropy
Statistics Theory
2009-11-13 v1 Functional Analysis
Statistics Theory
Abstract
The class of 2-D nonseparable geometrically anisotropic localisation operators is defined, containing highly anisotropic nearly unidirectional localisation operators, as well as isotropic localisation operators. A continuum of anisotropic operators between the extremes of near unidirectionality and isotropy are treated in a single class. The eigensystem of any given operator in this family is determined, thus specifying geometrically anisotropic optimally concentrated functions, and their degree of localisation.
Keywords
Cite
@article{arxiv.math/0702284,
title = {Localisation of Geometric Anisotropy},
author = {Sofia C. Olhede},
journal= {arXiv preprint arXiv:math/0702284},
year = {2009}
}
Comments
9 pages, 6 Postscript figures