From the beginning of quantum mechanics the main tool for mathematical analysis was fourier anaysis. (Heisenberg intoduced his famous matrices using fourier analysis). Fourier analysis has a non-local character-that the basis functions extend infinitely in space and time. What would be the physical implications if we used a local analytical method, e.g wavelets. This has been proposed by J.R. Croca:(adsbygoogle = window.adsbygoogle || []).push({});

http://redshift.vif.com/JournalFiles/Pre2001/V06NO3PDF/V06N3cro.pdf

In this paper the author claims, uncertainty relations are due to use of fourier analysis and using wavelets we can go beyond the uncertainity limit.

I'm waiting for ideas!

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# Is fourier analysis unavoidable?

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