This paper gives a survey of methods for the construction of space–frequency concentrated
frames on Riemannian manifolds with bounded curvature, and the applications of these …

Within the framework of the probability representation of quantum mechanics, we study a
superposition of generic Gaussian states associated to symmetries of a regular polygon of n …

In this paper we study the entanglement in symmetric N-quDit systems. In particular we use
generalizations to U (D) of spin U (2) coherent states (CSs) and their projections on definite …

Let X be a symmetric space of the noncompact type. The goal of the paper is to construct in
the space L2 (X) nearly Parseval frames consisting of functions which simultaneously …

The general quantum superposition states containing the irreducible representation of the n-
dimensional groups associated to the rotational symmetry of the n-sided regular polygon ie …

We give a simple method for constructing a projection from a surface of revolution M onto the
plane perpendicular to the rotation axis, which preserves areas. Then we use this projection …

The problem of multiscale representation and analysis of data defined on manifolds is
ubiquitous in neuroscience, biology, medical diagnostics, and a number of other fields. This …

We review the definition of hypergeometric coherent states, discussing some representative
examples. Then, we study mathematical and statistical properties of hypergeometric …

Abstract We introduce Gilmore-Perelomov coherent states for non-unitary representations of
non-compact groups, and we discuss the main similarities and differences with respect to …

We construct the Continuous Wavelet Transform (CWT) on the homogeneous space (Cartan
domain) D4= SO (4, 2)/(SO (4)× SO (2)) of the conformal group SO (4, 2)(locally isomorphic …