A non-commutative neutrix product of distributions

DOI10.1002/MANA.19821080110zbMath0522.46025OpenAlexW2054666675MaRDI QIDQ3672490

Brian Fisher

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1002/mana.19821080110

zbMATH Keywords

Dirac delta-functionnon-commutative neutrix product of distributions

Mathematics Subject Classification ID

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

Related Items (25)

On the beta function and the neutrix product of distributions ⋮ Defining compositions of \(x_+^\mu\), \(|x|^\mu\), \(x^{-s}\), and \(x^{-s}\ln |x|\) as neutrix limit of regular sequences ⋮ On the non-commutative neutrix product of Dirac-delta distribution with an infinitely differentiable function ⋮ On powers of the Heaviside function for negative integers ⋮ The noncommutative neutrix product of $x_{-}^{-s}\ln^mx_{-}$ and $x_{+}^{r}$ ⋮ On the non-commutative neutrix product of the distributions \(x^{\lambda}_{ + }\) and \(x^{\mu}_{ + }\) ⋮ Further results on Colombeau product of distributions ⋮ Unnamed Item ⋮ On products of distributions in Colombeau algebra ⋮ On the non-commutative neutrix product of the distributionsx^rln^p|x| andx^sln^q|x| ⋮ On the neutrix composition of the distributionsx^−sln^m|x| andx^r ⋮ On powers of the compositions involving Dirac-delta and infinitely differentiable functions ⋮ On the noncommutative neutrix product of distributions ⋮ An extension of the incomplete beta function for negative integers ⋮ On the non-commutative neutrix product of the distributionsx^rln^p|x| andx^−s ⋮ Interpretations of some distributional compositions related to Dirac delta function via Fisher's method ⋮ Defining the \(k\)th powers of the Dirac-delta distribution for negative integers ⋮ The neutrix limit of the \(q\)-gamma function and its derivatives ⋮ Some results on the non-commutative neutrix product of distributions ⋮ On partial derivatives of the incomplete beta function ⋮ Some results on the non-commutative neutrix product of distributions ⋮ On the non-commutative neutrix product of the distributions and ⋮ Unnamed Item ⋮ A note on the non-commutative neutrix product of distributions ⋮ On the distribution

Cites Work

• Introduction to the neutrix calculus

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