Guest

How do I compute the eigenfunctions of the Fourier Transform?

How do I compute the eigenfunctions of the Fourier Transform?

Grade:9

1 Answers

Vikas TU
14149 Points
2 years ago
By definition, to calculate the eigenvalues of the Fourier transform, solve the equation Ff(x)=λf(x) or ∫∞−∞f(x)e−2πiXxdx−λf(x)=0.
To decompose a function into Hermite-Gaussian functions HGn(x), i.e. find cn in f(x)=∑ncnHGn(x), take the inner product of f(x) with each Hermite-Gauss function: cn=∫∞−∞f(x)¯HGn(x)dx.

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free