Integration by differentiation: new proofs, methods and examples

DOI10.1088/1751-8121/aa6f32zbMath1368.81128arXiv1610.09702OpenAlexW2547495900MaRDI QIDQ5274893

Ding Jia, Achim Kempf, Eugene Tang

Publication date: 6 July 2017

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.09702

zbMATH Keywords

Fourier transformLaplace transformquantum field theoryintegrationDirac deltadifferentiationBorwein integral

Mathematics Subject Classification ID

Model quantum field theories (81T10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Operations with distributions and generalized functions (46F10) Feynman diagrams (81T18) Laplace transform (44A10)

Related Items (4)

Evaluating improper integrals using Laplace transforms ⋮ Unnamed Item ⋮ Combinatorial and algebraic enumeration: a survey of the work of Ian P. Goulden and David M. Jackson ⋮ Towards a more algebraic footing for quantum field theory

Cites Work

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• Two curious integrals and a graphic proof
• Analytic functions and the Fourier transform of distributions. I, II
• New Dirac delta function based methods with applications to perturbative expansions in quantum field theory
• Quantum Field Theory for Mathematicians
• Some remarkable properties of sinc and related integrals

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