62 citations · 111 across the 8 of their papers we have counts for
10 papers
A connection between the Uncertainty Principles on the real line and on the circle
Nils Byrial Andersen
The purpose of this short note is to exhibit a new connection between the Heisenberg Uncertainty Principle on the line and the Breitenberger Uncertainty Principle on the circle, by…
Rigidity of causal maps
Nils Byrial Andersen, Michael G. Cowling
We show that order-invariant injective maps on the noncompactly causal symmetric space belong to .
Asymptotics for the Radon transform on hyperbolic spaces
Nils Byrial Andersen, Mogens Flensted--Jensen
Let G/H be a hyperbolic space over R C or H, and let K be a maximal compact subgroup of G. Let D denote a certain explicit invariant differential operator, such that the non-cuspid…
Cuspidal discrete series for projective hyperbolic spaces
Nils Byrial Andersen, Mogens Flensted-Jensen
We have in [1] proposed a definition of cusp forms on semisimple symmetric spaces , involving the notion of a Radon transform and a related Abel transform. For the real non-Ri…
On the Fourier transform of Schwartz functions on Riemannian Symmetric Spaces
Nils Byrial Andersen
Consider the (Helgason-) Fourier transform on a Riemannian symmetric space G/K. We give a simple proof of the L^p-Schwartz space isomorphism theorem (0 <p \le 2) for K-finite funct…
Cuspidal discrete series for semisimple symmetric spaces
Nils Byrial Andersen, Mogens Flensted-Jensen, Henrik Schlichtkrull
We propose a notion of cusp forms on semisimple symmetric spaces. We then study the real hyperbolic spaces in detail, and show that there exists both cuspidal and non-cuspidal disc…