Errors and ambiguity in transition from Fourier series to Fourier integrals

Details Errors and ambiguity in transition from Fourier series to Fourier integrals Errors and ambiguity in transition from Fourier series to Fourier integrals

2004-12-13

arxiv.org/abs/hep-lat/0412019v1

Physics

High Energy Physics

High Energy Physics - Lattice

Scientific paper

Transition from Fourier series to Fourier integrals is considered and error
introduced by ordinary substitution of integration for summing is estimated.
Ambiguity caused by transition from discrete function to continuous one is
examined and conditions under which this ambiguity does not arise are
suggested.

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