Explore BrainMass

# Use Parseval's equality

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

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:
---

© BrainMass Inc. brainmass.com March 4, 2021, 6:45 pm ad1c9bdddf
https://brainmass.com/math/fourier-analysis/use-parsevals-equality-60430

#### 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.

\$2.49