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A generalization of the Euler-Maclaurin formula

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Publication:1274056
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DOI10.1007/BF02355737zbMath0915.42002MaRDI QIDQ1274056

Roald M. Trigub

Publication date: 15 June 1999

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

total variationbounded variationEuler-Maclaurin formula


Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Convergence and divergence of integrals (40A10)


Related Items (8)

Summation Formulas of Euler–Maclaurin and Abel–Plana: Old and New Results and Applications ⋮ A modified Euler–Maclaurin formula in 1D and 2D with applications in statistical physics ⋮ Fourier transform versus Hilbert transform ⋮ Asymptotics of approximation of continuous periodic functions by linear means of their Fourier series ⋮ Poisson summation formula in Hardy spaces \(H^p(T_\Gamma )\), \(p\in (0,1\)] ⋮ An interplay of multidimensional variations in Fourier analysis ⋮ Euler-Maclaurin with remainder for a simple integral polytope ⋮ Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group



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