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math.AP2024
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}…
math.AP2021
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…
math.AP2009
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.…