In the last decade, methods based on various kinds of spherical wavelet bases have found
applications in virtually all areas where analysis of spherical data is required, including …

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 …

Marcinkiewicz multipliers are L p bounded for 1< p<∞ on the Heisenberg group ℍ n≃ ℂ n×
ℝ, as shown by D. Müller, F. Ricci, and EM Stein. This is surprising in that these multipliers …

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 …

In recent years, a rapidly growing literature has focussed on the construction of wavelet
systems to analyze functions defined on the sphere. Our purpose in this paper is to …

Abstract The Cauchy-Szegő singular integral is a fundamental tool in the study of
holomorphic H p Hardy space. But for a kind of Siegel domains, the Cauchy-Szegő kernels …

These notes introduce the central concepts surrounding wavelets and their applications. By
focusing on the essential ideas and arguments, the authors enable readers to get to the …

Given a simply connected nilpotent Lie group having unitary irreducible representations that
are square-integrable modulo the center, we use operator-valued periodization to give a …

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 …

Besov Spaces and Frames on Compact Manifolds Page 1 Besov Spaces and Frames on
Compact Manifolds Daryl Geller & Azita Mayeli ABSTRACT. We show that one can characterize …