Errors and ambiguity in transition from Fourier series to Fourier integrals
Vladimir K. Petrov
Abstract
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.
Create a lesson
Related papers
Computability of GPDs near x=ξ in Lattice QCD
Yushan Su, Xiangdong Ji, Yizhuang Liu et al.
Numerical Investigations of Phase Transitions in Lattice Field Theories
Vamika Longia
Symplectic lattice gauge theories in the Grid framework: domain wall fermions and continuum extrapolations
Ed Bennett, Peter A. Boyle, Luigi Del Debbio et al.
The soft-gluon limit of the Landau gauge ghost-gluon vertex: results for pure Yang-Mills SU(3) theory from lattice simulations
Nuno Brito, Orlando Oliveira, Paulo J. Silva
Testing strong isospin breaking effects in QCD thermodynamics
D. A. Clarke, B. B. Brandt
A Vector-Vector-Axial Anomaly in 4D
Evan Berkowitz, Shi Chen, Aleksey Cherman