ICTP Mathematics Seminar - Friday 10 February at 16:00

[Math Section]

M A T H E M A T I C S   S E M I N A R S   2017

Friday 10 February, at 16.00 hrs.


Danylo Radchenko (ICTP)


Title:
Interpolation of Fourier eigenfunctions in the Schwartz space


Abstract:
We will describe an interpolation formula for Schwartz eigenfunctions of 
the Fourier transform on the real line. The formula is related to the 
Whittaker-Shannon interpolation formula for band-limited functions, but 
uses square roots of integers instead of integers as sampling points. It 
turns out that the basis functions of this interpolation formula can be 
given explicitly in terms of certain weakly holomorphic modular forms of 
weights 1/2 and 3/2 and have several other remarkable properties.
The talk is based on a joint work with Maryna Viazovska.


VENUE:  Luigi Stasi Seminar Room (ICTP Leonardo da Vinci Building, first 
floor)