Skip to main content

Yves Meyer: Spikes and waves

Mikael Passare Day

Time: Wed 2021-09-15 14.15 - 15.00

Location: Stockholm University, Kräftriket, Room 14 and Zoom 694 2604 1151

Lecturer: Yves Meyer (Ecole Normale Supérieure de Cachan)

Abstract

An atomic measure on \(\mathbb{R}^n\) is a crystalline measure if it is supported by a locally finite set and if its distributional Fourier transform is also supported by a locally finite set. Crystalline measures were introduced in 1959 by Andrew Guinand, Jean-Pierre Kahane, and Szolem Mandelbrojt. Recent results show that crystalline measures play a seminal role in the following problem on Schwartz functions. One is given two locally finite sets E and F. We demand that the only Schwartz function f vanishing on E and whose Fourier transform vanishes on F be the zero function. Finally this investigation applies to the solution by Maryna Viazovska of the packing Kepler problem in dimension 8.

Page responsible:webmaster@math.kth.se
Belongs to: Department of Mathematics
Last changed: Sep 10, 2021