|Jul11-11, 11:20 PM||#1|
Determining Weight Functions
I've read a few books on solving differential equations and they all talk about inner products with respect to weight functions. The examples always read something like that "Using the weight function w(x) = blah blah show that the solutions of the differential equations are orthogonal"
We're always given the weight function. I was wondering if there was a general method to finding the weight function?
|Jul13-11, 06:54 PM||#2|
Yes, there are ways to determine weight. For example, Vilenkin does that a couple of times in his Special functions and the theory of group representations.
|Jul14-11, 11:38 AM||#3|
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