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Yves Meyer: Spikes and waves

Mikael Passare Day

Tid: On 2021-09-15 kl 14.15 - 15.00

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

Föreläsare: 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.

Innehållsansvarig:webmaster@math.kth.se
Tillhör: Institutionen för matematik
Senast ändrad: 2021-09-10