A determinantal point process (DPP) is an ensemble of random nonnegative-integer-valued
Radon measures Ξ on a space S with measure λ, whose correlation functions are all given …

Let $ G=\mathbb {R}^ 2\rtimes SO (2) $ be the Euclidean motion group, let g be the Lie
algebra of G and let U (g) be the universal envelo** algebra of g. Then U (g) is an infinite …

We consider the Radon transform associated to dual pairs (X,Ξ) in the sense of Helgason,
with X=G/K and Ξ=G/H, where G is a locally compact group and K and H are closed …

This paper presents a systematic study for the general theory of non-Abelian Fourier series
of integrable functions on the homogeneous space $\mathbf {\Gamma}\backslash SE (d) …

This paper introduces a systematic study for analytic aspects of Fourier–Zernike series of
convolutions of compactly supported functions on SE (2). Let a> 0, B a be the disk of radius …

We illustrate the general point of view we developed in an earlier paper (SIAM J. Math.
Anal., 2019) that can be described as a variation of Helgason's theory of dual G …

This paper introduces a systematic study for analytic aspects of discrete spectra methods for
functions supported on some compact domains of SE (2), according to Sturm–Liouville …

Deconvolution is an important class of inverse problems. The goal of this paper is to develop
the optimality properties of deconvolution density estimators on the noncommutative and …

Let δ (t) be the Dirac measure on SO (2)∼= T, the circle group, and let G= R2⋊ T be
theEuclidean motion group. It is established that the (convolution) operator A′: C∞ c (G)→ …

The first contribution of this thesis is a new approach based on the theory of group
representations in order to solve in a general an unified way the unitarization and inversion …