I've been looking for some decent info on functional space but(adsbygoogle = window.adsbygoogle || []).push({});

could not find anything. Googling gives lots of defenitions, but no explanations as such.

Basically I'd like to understand why a function can be decomposed into other function, e.g. understand a meaning of inner product with respect to functions.

Or why one can or can not say decompose cos(x) into [tex]x^{2}[/tex] and [tex]x^{3}[/tex] with some coefficients.

I don't event clearly know what filed of mathematics studies functional spaces :)

Thanks.

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# Functional Spaces

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