Can I expand a function in(adsbygoogle = window.adsbygoogle || []).push({});

[tex]f(x)=\sum_k g_k(x\cdot k)[/tex]

where g is a periodic function that is not an exponential?

So

[tex]g_k(a)=g_k(a+1)[/tex]

What if there doesn't necessarily have to be a back transformation or if the expansion doesn't have to be unique?

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# Expand in more localized than Fourier

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