Fourier Analysis on Polytopes and the Geometry of Numbers Roxanna Erickson Klien The species has achieved some

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Fourier Analysis on Polytopes and the Geometry of Numbers Roxanna Erickson Klien The species has achieved someThis book offers a gentle introduction to the geometry of numbers from a modern Fourier analytic point of view. One of the main themes is the transfer of geometric knowledge of a polytope to analytic knowledge of its Fourier transform. The Fourier transform preserves all of the information of a polytope, and turns its geometry into analysis. The approach is unique, and streamlines this emerging field by presenting new simple proofs of some basic