Tagged Questions
4
votes
2answers
892 views
Spectrum of Indefinite Integral Operators
I've considered the following spectral problems for a long time, I did not kow how to tackle them. Maybe they needs some skills with inequalities.
For the first, suppose $T:L^{2}[0,1]\rightarrow ...
3
votes
1answer
257 views
Is there a solution to this integral equation?
The problem is related to this question: How to find eigenfunctions
of a linear operator (follow-up
question) I posted earlier.
Suppose I want to solve the following integral equation:
$$\int_0^1 ...
1
vote
1answer
622 views
How to find eigenfunctions of a linear operator (follow-up question)
This is a follow up to this question. My original question was answered by @oeanamen but for convenience here I state the follow up question completely.
I am interested in calculating characteristic ...
3
votes
1answer
298 views
How to find eigenfunctions of a linear operator
I wonder if there is a general way of finding characteristic values and eigenfunctions of a given linear operator described by an integral.
As a special case suppose I am interested in this function:
...
