What is the proof that the inner product of two functions f(x) and g(x) is(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\int_{a}^{b} f(x)g(x)dx

[/tex]

Or is this actually a definition of the inner product for functions? If it is a definition, then what is it based on?

Thank you

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# Inner product of functions

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