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Hello.

1- Suppose that I have a function f(x) and I want to find a function g(x) orthogonal to f(x) (Integration of f(x)*g(x) =0)

2- How to find a function g(x) orthogonal to many functions f(x),l(x),k(x),...etc

Please, is there a good reference summarizing these concepts. Thanks..

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1 
 en.wikipedia.org/wiki/… This problem is probably not research level; you might try math.stackexchange.com – Daniel Litt Feb 1 2011 at 5:45
I think this is also something that needs to be studied in a functional-analysis-flavoured course. The problem as stated is ill-defined (what classes of function is this supposed to work for?) – Yemon Choi Feb 1 2011 at 6:23
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 Please see the FAQ. – S. Carnahan♦ Feb 1 2011 at 7:08

closed as too localized by Angelo, Yemon Choi, S. Carnahan♦ Feb 1 2011 at 7:06

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