Exponential sums and integrals over convex polytopes

DOI10.1007/BF01075276zbMath0798.32002OpenAlexW2018667838MaRDI QIDQ1316821

Alexander I. Barvinok

Publication date: 12 April 1994

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01075276

zbMATH Keywords

exponential sumsintegralsmeromorphic functionconvex polytopesLebesgue measure on \(\mathbb{R}^ n\)

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Approximation to limiting values (summation of series, etc.) (40A25) Meromorphic functions of several complex variables (32A20) Real-analytic functions (26E05)

Related Items

Fejér kernels for Fourier series on \(\mathbb{T}^ n\) and on compact Lie groups ⋮ Computing Gaussian \& exponential measures of semi-algebraic sets ⋮ On moments of a polytope ⋮ The null set of a polytope, and the Pompeiu property for polytopes ⋮ Algebraic-exponential data recovery from moments ⋮ On the classification of Kähler-Ricci solitons on Gorenstein del Pezzo surfaces ⋮ The inverse moment problem for convex polytopes ⋮ How to integrate a polynomial over a simplex

Cites Work

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• Milnor numbers of nonisolated Saito singularities