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Multiplication of Distributions in Mathematical Physics

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 2016Publisher:Springer Singapore

Authors: J. Aragona; S. O. Juriaans; Ch. Olivera; J. F. Colombeau; Pedro J. Catuogno;

doi: 10.1007/978-981-10-2636-2_46

Multiplication of Distributions in Mathematical Physics

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Abstract

We expose a mathematical method that permits to treat calculations in form of multiplications of distributions that arise in various areas of mathematical physics, starting with an analysis of the famous Schwartz impossibility result (1954), then a construction of products of distributions, with examples and references of use in various domains of physics: classical and quantum mechanics, stochastic analysis and general relativity.

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