24 citations · 44 across the 7 of their papers we have counts for
7 papers
Hyperbolic Fourier series and the Klein-Gordon equation
H. Hedenmalm, A. Montes-Rodriguez
In an effort to extend classical Fourier theory, Hedenmalm and Montes-Rodr\'ıguez (2011) found that the function system \[ e_m(x)=e^{iπmx},\quad e_n^\dagger(x)=e_n(-1/x)=e^{-iπn/x}…
Hyperbolic Fourier series
Andrew Bakan, Haakan Hedenmalm, Alfonso Montes-Rodriguez +2
In this article we explain the essence of the interrelation described in [PNAS 118, 15 (2021)] on how to write explicit interpolation formula for solutions of the Klein-Gordon equa…
Fourier uniqueness in
Andrew Bakan, Haakan Hedenmalm, Alfonso Montes-Rodriguez +2
We show an interrelation between the uniqueness aspect of the recent Fourier interpolation formula of Radchenko and Viazovska and the Heisenberg uniqueness study for the Klein-Gord…
An extension of ergodic theory for Gauss-type maps
Haakan Hedenmalm, Alfonso Montes-Rodriguez
We propose an extension of ergodic theory which focuses on the identification of ergodicity in terms of the uniqueness of the invariant measure. We first explain the concept for th…
The Klein-Gordon equation, the Hilbert transform, and dynamics of Gauss-type maps
Haakan Hedenmalm, Alfonso Montes-Rodriguez
A pair , where is a locally rectifiable curve and is a {\em Heisenberg uniqueness pair} if an absolutely continuous (with respe…
Perron-Frobenius operators and the Klein-Gordon equation
Francisco Canto-Martin, Haakan Hedenmalm, Alfonso Montes-Rodriguez
We study the non-uniqueness sets for solutions to the Klein-Gordon equation in 1 space dimension, for solutions whose Fourier transform is a finite complex measure absolutely conti…
Heisenberg uniqueness pairs and the Klein-Gordon equation
H. Hedenmalm, A. Montes-Rodriguez
The notion of a Heisenberg Uniqueness Pair (HUP) is introduced. This amounts to asking which collections of exponentials are weak-star fundamental in on a planar curve.…