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math.FA2013★ 3 cited
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…
math.FA2008★ 62 cited
Real Paley-Wiener theorems and local spectral radius formulas
Nils Byrial Andersen, Marcel de Jeu
We systematically develop real Paley-Wiener theory for the Fourier transform on R^d for Schwartz functions, L^p-functions and distributions, in an elementary treatment based on the…