What is the relationship between filtering and eigenfunctions?

[hotel]

Hi,
I don’t know if I understand eigenfunction correctly, I hope someone can help me with it.
By definition of eigenfunction as
Af=Lf ;
Is it correct to say that filtering (A) is equal to scaling (L) through representation of a function by eigenfunction (f) ?
thanks

 

[berkeman]

An eigenfunction is a waveform that only gets scaled when going through a linear time-invariant (LTI) system. The scaling constant is the eigenvalue.