Complex Fourier Series: Even/Odd Half Range Expansion

Click For Summary
SUMMARY

The discussion clarifies that the complex form of Fourier series does not assume even or odd half range expansion. Participants sought to understand the definitions of even and odd half range expansions, which are not explicitly stated in the context of the complex Fourier series. The conversation emphasizes the importance of context when interpreting mathematical concepts from textbooks.

PREREQUISITES
  • Understanding of Fourier series and their applications
  • Familiarity with complex numbers and their properties
  • Knowledge of even and odd functions in mathematics
  • Basic grasp of half range expansions in signal processing
NEXT STEPS
  • Research the definitions and applications of even and odd half range expansions
  • Study the properties of complex Fourier series in detail
  • Explore the implications of half range expansions in signal processing
  • Learn about the differences between full and half range Fourier series
USEFUL FOR

Mathematicians, signal processing engineers, and students studying Fourier analysis who seek to deepen their understanding of Fourier series and their expansions.

Ali Baig
Messages
12
Reaction score
0
Does the complex form of Fourier series assume even or odd half range expansion?
 
Physics news on Phys.org
Hi,

Can you elaborate ? It seems this is taken out of a textbook context (where a possible choice should be made explicit).

What is even (or odd) half range expansion anyway ?
 
Ali Baig said:
Does the complex form of Fourier series assume even or odd half range expansion?
No.
 

Similar threads

Graduate Complex exponetial form of Fourier series
  • · Replies 1 ·
Replies
1
Views
3K
Solve integral by finding Fourier series of complex function
  • · Replies 3 ·
Replies
3
Views
2K
Graduate PDE: How to use Fourier Series to express a real function?
  • · Replies 6 ·
Replies
6
Views
1K
Integral of sinc function using Fourier series
  • · Replies 6 ·
Replies
6
Views
1K
How should I show that solutions can be expressed as a Fourier series?
  • · Replies 3 ·
Replies
3
Views
2K
Solve an ODE using Fourier series
  • · Replies 2 ·
Replies
2
Views
1K
Characterize Fourier coefficients
  • · Replies 2 ·
Replies
2
Views
2K
Fourier series and the shifting property of Fourier transform
  • · Replies 6 ·
Replies
6
Views
2K
Analysis Books for learning Fourier series expansion
  • · Replies 6 ·
Replies
6
Views
3K
MHB Gibbs Phenomenon: Investigating Fourier Series of a Discontinuity
  • · Replies 2 ·
Replies
2
Views
2K