11 citations · 42 across the 27 of their papers we have counts for
6 papers · 1 filter
Invariant Functions on Grassmannians
Gestur Ólafsson, Boris Rubin
It is known, that every function on the unit sphere in $\bbr^n$, which is invariant under rotations about some coordinate axis, is completely determined by a function of one variab…
Examples of Coorbit Spaces for Dual Pairs
J. G. Christensen, G. Ólafsson
In this paper we summarize and give examples of a generalization of the coorbit space theory initiated in the 1980's by H.G. Feichtinger and K.H. Gröchenig. Coorbit theory has been…
Three-way tiling sets in two dimensions
David Larson, Peter Massopust, Gestur Olafsson
In this article we show that there exist measurable sets W in the plane with finite measure that tile the plane in a measurable way under the action of a expansive matrix A, an aff…
Coxeter Groups, Wavelets, Multiresolution and Sampling
M. Dobrescu, G. Olafsson
In this short note we discuss the interplay between finite Coxeter groups and construction of wavelet sets, generalized multiresolution analysis and sampling.
Wavelet sets without groups
Mihaela Dobrescu, Gestur Olafsson
Most of the examples of wavelet sets are for dilation sets which are groups. We find a necessary and sufficient condition under which subspace wavelet sets exist for dilation sets…
Representation theory, Radon transform and the heat equation on a Riemannian symmetric space
Gestur Olafsson, Henrik Schlichtkrull
Let X=G/K be a Riemannian symmetric space of the noncompact type. We give a short exposition of the representation theory related to X, and discuss its holomorphic extension to the…