# 2014-04-15 Nonlinear Seminar

Asymptotic behaviour of some -almost periodic functions

The function

(4)

is a classical example of an unbounded and continuous -almost periodic function. For this function we have
(5)

During this lecture we will consider if changing the number to another irrational number may have relevant impact on the behaviour of this function. We shall construct such a number that the limit
(6)

will not exist.
The lecture will be preceded by a short speech by Marcin Borkowski.