Multidimensional Laplace Transforms over Quaternions, Octonions and Cayley-Dickson Algebras, Their Applications to PDE

DOI10.4236/APM.2012.22013zbMath1302.44001arXiv1004.4355OpenAlexW2002612795MaRDI QIDQ2890847

Sergey V. Ludkovsky

Publication date: 12 June 2012

Published in: Advances in Pure Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.4355

zbMATH Keywords

Laplace transformpartial differential equationoctonion algebraCayley-Dickson algebraquaternion skew fieldnon-commutative integration

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Laplace transform (44A10) Nonassociative division algebras (17A35)

Related Items (2)

Integration of vector Sobolev-type PDE over octonions ⋮ Quaternionic slice regular functions and quaternionic Laplace transforms

Uses Software

• LaplaceAndzTransform

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