The statement is wrong how it is stated.
Consider the sawtooth wave.
Maybe you also had the condition that is continous?
I think it is, here is my proof:
Suppose that is a t-periodic function. We will show that f is uniformly continuous.
Let , find such that with , then
We then have , thus proves the claim.
Is this right? Thank you.
The statement is wrong how it is stated.
Consider the sawtooth wave.
Maybe you also had the condition that is continous?