From sphere packing to Fourier interpolation

H Cohn - Bulletin of the American Mathematical Society, 2024 - ams.org
Viazovska's solution of the sphere packing problem in eight dimensions is based on a
remarkable construction of certain special functions using modular forms. Great mathematics …

Heisenberg uniqueness pairs for the hyperbola

DK Giri, R Rawat - Bulletin of the London Mathematical Society, 2021 - Wiley Online Library
Let Γ be the hyperbola {(x, y)∈ R 2: xy= 1} and Λ β be the lattice‐cross defined by Λ
β=(Z×{0})∪({0}× β Z) in R 2, where β is a positive real. A result of Hedenmalm and Montes …

Hyperbolic Fourier series and the Klein-Gordon equation

A Bakan, H Hedenmalm, A Montes-Rodriguez… - arXiv preprint arXiv …, 2024 - arxiv.org
In an effort to extend classical Fourier theory, Hedenmalm and Montes-Rodr\'{\i} guez (2011)
found that the function system\[e_m (x)= e^{i\pi mx},\quad e_n^\dagger (x)= e_n (-1/x)= e …

Corrigendum: Heisenberg uniqueness pairs for the hyperbola: (Bull. Lond. Math. Soc. 53 (2021), no. 1, 16–25)

DK Giri, R Rawat - Bulletin of the London Mathematical Society, 2022 - Wiley Online Library
Recently we found that the sufficient condition in the main result of our paper entitled
“Heisenberg uniqueness pairs for the hyperbola, Bull. Lond. Math. Soc. 53 (2021), no. 1, 16 …

[PDF][PDF] Hyperbolic Fourier series and the Klein-Gordon equation

H Hedenmalm, MV Radchenko - 2023 - people.kth.se
If we try for pure complex exponential solutions u (x, y)= eiλx+ iµy, then uxy+ u=(1− λµ) eiλx+
iµy= 0 holds if and only if λµ= 1. Such pure complex exponential solutions are bounded if …