Suppose [tex]\mathbb{T}=[-\pi,\pi][/tex] and we have a function in [tex]L^p(\mathbb{T})[/tex] with some measure. If we know the Fourier coefficients of f, what is the [tex]L^p[/tex] norm of f? Is it [tex](\sum f_i^p)^{1/p}[/tex]? where fi are the coefs.(adsbygoogle = window.adsbygoogle || []).push({});

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# Homework Help: Norm of a function

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