On defining the product of distributions

DOI10.1002/mana.19800990126zbMath0468.46027OpenAlexW2079152610MaRDI QIDQ3921686

Brian Fisher

Publication date: 1980

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19800990126

zbMATH Keywords

product of distributionstest functionDirac delta-function

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (15)

On the non-commutative neutrix product of Dirac-delta distribution with an infinitely differentiable function ⋮ Results on the Colombeau products of the distribution \(x_+^{-r-1/2}\) with the distributions \(x_-^{-k-1/2}\) and \(x_-^{k-1/2}\) ⋮ On the non-commutative neutrix product of the distributions \(x^{\lambda}_{ + }\) and \(x^{\mu}_{ + }\) ⋮ The distributional products on spheres and Pizetti's formula ⋮ On the non-commutative neutrix product of the distributionsx^rln^p|x| andx^sln^q|x| ⋮ On the noncommutative neutrix product of distributions ⋮ On the non-commutative neutrix product of the distributionsx^rln^p|x| andx^−s ⋮ Several results on the commutative neutrix product of distributions ⋮ PDE and extrafunctions ⋮ Some results on the non-commutative neutrix product of distributions ⋮ Some results on the non-commutative neutrix product of distributions ⋮ On the non-commutative neutrix product of the distributions and ⋮ Unnamed Item ⋮ The Colombeau generalized nonlinear analysis and the Schwartz linear distribution theory ⋮ A note on the non-commutative neutrix product of distributions

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