The Dirichlet-Jordan test and multidimensional extensions

DOI10.1090/S0002-9939-00-05658-6zbMath0969.42006MaRDI QIDQ2701578

Michael E. Taylor

Publication date: 19 February 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Fourier seriesGibbs phenomenonpointwise convergenceDirichlet-Jordan testmultidimensional analoguespointwise Fourier inversion

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10)

Related Items (4)

Boundary-volume Lippmann Schwinger formulation and fast iteration schemes for numerical homogenization of conductive composites. Cases of arbitrary contrasts and Kapitza interface ⋮ Eigenfunction expansions and the Pinsky phenomenon on compact manifolds ⋮ Unnamed Item ⋮ Fourier expansions of functions with bounded variation of several variables

Cites Work

• Unnamed Item
• The Gibbs phenomenon for multiple Fourier integrals
• Pointwise Fourier inversion: A wave equation approach
• Localization and convergence of eigenfunction expansions
• Fourier integral operators

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