The sequence of ideas in a re-discovery of the Colombeau algebras

dc.creatorGsponer, Andre
dc.date2008-07-03
dc.date2008-10-06
dc.date.accessioned2026-07-07T10:07:19Z
dc.date.available2026-07-07T10:07:19Z
dc.descriptionThis is a gentle introduction to Colombeau nonlinear generalized functions, a generalization of the concept of distributions such that distributions can freely be multiplied. It is intended to physicists and applied mathematicians who prefer a `step-by-step approach' to a `top-down indoctrination.' No particular prerequisite knowledge is necessary -- and in less than one hour you should know everything you need to know and were afraid to ask about Colombeau algebras and their applications in physics... A selected bibliography is appended, giving examples of applications to partial differential and wave equations, electrodynamics, hydrodynamics, general relativity, and quantum field theory.
dc.description28 pages. Minor corrections and additional references
dc.identifierhttps://arxiv.org/abs/0807.0529
dc.identifierhttp://arxiv.org/abs/0807.0529
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170596
dc.subjectMathematical Physics
dc.titleThe sequence of ideas in a re-discovery of the Colombeau algebras
dc.typetext

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