Series, the Convergence of which Should be Interpreted in the Sense of L. Schwartz’s Distributions

DOI10.1137/1037086zbMath0878.46031OpenAlexW2040820038MaRDI QIDQ4856682

Peter Wagner, Norbert Ortner and Peter Wagner

Publication date: 14 December 1997

Published in: SIAM Review (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/1037086

zbMATH Keywords

Fourier transformHankel transformBochner's formulamultivariate Poisson summationsummation of an alternating divergent multivariate seriesthree-dimensional spherical model of ferromagnetism

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Fourier series and coefficients in several variables (42B05) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Multiple sequences and series (40B05) Abel, Borel and power series methods (40G10)

Related Items (3)

On the convergence of a two-dimensional trigonometric sum ⋮ Extensions of the Poisson summation formula ⋮ Quantum phase transition in the spin-anisotropic quantum spherical model

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