Fourier transforms of indicator functions, lattice point discrepancy, and the stability of integrals
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DOI: 10.1007/s00208-021-02156-z
Abstract: We prove sharp estimates for Fourier transforms of indicator functions of bounded open sets in $${\mathbb {R}}^n$$ R n with real analytic boundary, as well as nontrivial lattice point discrepancy results. Both are derived from… read more here.
Keywords: fourier transforms; lattice point; point discrepancy; stability ... See more keywords