On the operator \(\bigoplus^k\) related to the wave equation and Laplacian

DOI10.1016/S0096-3003(01)00129-1zbMath1027.35078MaRDI QIDQ1855828

Suthep Suantai, Amnuay Kananthai, Vites Longani

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

wave equationdiamond operatorLaplacianconvolution algebraultra-hyperbolic Riesz kernel

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Distributions, generalized functions, distribution spaces (46F99) Pseudohyperbolic equations (35L82)

Related Items (2)

Boundary value problem of the operator \(\oplus^k\) related to the biharmonic operator and the diamond operator ⋮ On the Green function of the (⊕+m²)^koperator

Cites Work

• On the solutions of the \(n\)-dimensional diamond operator
• On Marcel Riesz's Ultrahyperbolic Kernel
• The Distributional Hankel Transform of Marcel Riesz's Ultrahyperbolic Kernel
• On Riemann-Liouville integral of ultra-hyperbolic type
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