Let be a periodic function such that . Define . Prove that is periodic and find its period.

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- Jul 22nd 2010, 11:03 AMsashikanthPeriodic function of 2 variables
Let be a periodic function such that . Define . Prove that is periodic and find its period.

- Jul 24th 2010, 04:41 AMtonio
- Jul 24th 2010, 04:54 AMsashikanth
Hi Tonio. Thank you for your reply. I am so sorry, I made an error in posting the question. The actual question in the book reads like this:

I do not understand what periodicity of a function of 2 variables means. I tried looking for the definition but I couldn't find it. Also, in your solution, I did not understand this step:

I will be very grateful if you could explain it to me. Thank you. :)