Tiling by translates of a function

Mon, 07/12/2015 - 14:00
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Abstract: 

A function f on the real line is said to tile by translates
along a discrete set $\Lambda$ if the sum of all the functions
f(x-\lambda), $\lambda \in \Lambda$, is equal to one identically.
Which functions can tile by translates, and what can be said
about the translation set $\Lambda$? I will survey the subject and
discuss some recent results joint with Mihail Kolountzakis.