Use Parseval's equality
We are using the book Methods of Real Analysis by Richard R. Goldberg
(See attached file for full problem description)
---
12.5-2
Show that the Fourier series for is
a) Use 12.5E to show that Fourier series at t=0 converges to . Deduce that
12.5E: Theorem. Let ( this means the function f and the function g is Lebesgue Integrable on , we can write , page 318 of the book Methods if real
analysis by Richard R. Goldberg), and let x be any point in .
If
and exist, then the Fourier series for at x will converge to .
b) Use Parseval's equality to show that
Parseval's equality:
---
https://brainmass.com/math/fourier-analysis/use-parsevals-equality-60430
Attachments
Solution Preview
Please see the attachment.
12.5-2
Proof:
First, we find the Fourier series of the function ,
The Fourier series of ...
Solution Summary
This solution is comprised of a detailed explanation to use Parseval's equality to solve.