The design of novel protein structures remains a challenge in protein engineering for
applications across biomedicine and chemistry. In this line of work, a diffusion model over …

In this memoir we extend the theory of global pseudo-differential operators to the setting of
arbitrary sub-Riemannian structures on a compact Lie group. More precisely, given a …

In this paper we propose to develop harmonic analysis on the Poincaré ball B _ t^ n B tn, a
model of the n n-dimensional real hyperbolic space. The Poincaré ball B _ t^ n B tn is the …

We introduce a model of the primary visual cortex (V1), which allows the compression and
decomposition of a signal by a discrete family of orientation and position dependent …

Abstract The Radon transform Rf of functions f on SO (3) has recently been applied
extensively in texture analysis, ie the analysis of preferred crystallographic orientation. In …

This is an overview of an ongoing research project regarding the existence of Gabor frames
on manifolds with contact structure, motivated by the need for a mathematical model of V 1 …

Wavelets can be interpreted as coherent states and this group theoretic approach is very
successful. Unfortunately, this approach fails on spheres and other manifolds. In this paper …

Besov continuity for pseudo-differential operators on compact homogeneous manifolds | Journal
of Pseudo-Differential Operators and Applications Skip to main content SpringerLink Account …

This thesis has two objectives: first, to provide a model of the functional architecture of the
primary visual cortex (V 1) in terms of both geometry and signal analysis and second to …

Clifford analysis is a higher dimensional functions theory for the Dirac operator and builds a
bridge between complex function theory and harmonic analysis. The construction of …