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Exotic Poisson summation formulas on the real line

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Speaker: 
Danylo Radchenko
Affiliation: 
ICTP Trieste/MPI
Date: 
Tue, 2017-09-05 14:00 - 15:00
Location: 
MPIM Lecture Hall

A crystalline measure is a measure whose support is a discrete closed set,
and whose Fourier transform is also a measure with this property. A
generalized Dirac comb is always crystalline, and all other crystalline
measures are called exotic. I will describe a recent construction of a
continuous family of exotic crystalline measures that uses weakly
holomorphic modular forms on the Hecke group.
The talk is based on a joint work with Maryna Viazovska.

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