Let M be a smooth compact oriented Riemannian manifold, and let Δ M be the Laplace–
Beltrami operator on M. Say 0 ≠ f ∈ S (R^+), and that f (0)= 0. For t> 0, let K t (x, y) denote …

Let M be a smooth compact oriented Riemannian manifold of dimension n without boundary,
and let Δ be the Laplace–Beltrami operator on M. Say 0 ≠ f ∈ S (\mathbb R^+), and that f …

Let G be a stratified Lie group and L be the sub-Laplacian on G. Let 0≠f∈S(R^+). We show
that Lf (L) δ, the distribution kernel of the operator Lf (L), is an admissible function on G. It is …

An exceptional 3D wide-sense Markov model which can be completely solved analytically
and easily synthesized is presented. The model can be modified to faithfully represent …

We establish wavelet characterizations of homogeneous Besov spaces on stratified Lie
groups, both in terms of continuous and discrete wavelet systems. We first introduce a notion …

Mathematical Methods for Signal and Image Analysis and Representation presents the
mathematical methodology for generic image analysis tasks. In the context of this book an …

Scale space representations over Euclidean space are closely related to continuous wavelet
transforms. Eg, taking the time derivative of a Gaussian scale space representation yields a …

We tackle the inverse problem of reconstructing an unknown finite measure μ from a noisy
observation of a generalized moment of μ defined as the integral of a continuous and …

In this paper, we construct some compactly supported orthogonal regular wavelet basis on
Heisenberg group. Because of the regularity of wavelets, we could use such wavelets to …

We prove and construct Shannon-like Parseval wavelet frames for a class of two step
connected, and simply connected nilpotent Lie groups, using a mixture of representation …