Localisation of Geometric Anisotropy

The class of 2-D nonseparable geometrically anisotropic localization operators is defined, from the representation of a function via a family of coherent states, by restricting the states in the reconstruction formula. The eigensystem of operators in a set family is determined, this specifying optimally localized anisotropic functions, and their degree of localization. These functions are suitable for analysis of inhomogeneous anisotropic random fields.