Some peculiarities of transition from discrete to continuum Fourier series in lattice theories

2002/12/17 by В. К. Петров, Vladimir K. Petrov, Petrov, Vladimir K.
Mathematics · Physics and Astronomy · #Differential Equations and Boundary Problems #Mathematical Approximation and Integration #advanced mathematical theories #hep-lat

paper · pdf · doi:10.48550/arxiv.hep-lat/0212028

arxiv created 2002/12/17 · arxiv updated 2009/11/30

Abstract

Transition from discrete to continuous Fourier series is studied for the functions becoming singular in the transition. Conditions are specified when summing replacement by integration is inadmissible.

Citations

• Some remarks on cyclization and periodicity

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