Defining the \(k\)th powers of the Dirac-delta distribution for negative integers

DOI10.1016/S0893-9659(00)00171-3zbMath0990.46030OpenAlexW2057667616MaRDI QIDQ5938936

Emin Özçağ

Publication date: 7 August 2001

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(00)00171-3

zbMATH Keywords

Dirac-delta distributionnegative integersneutrix composition of distributionneutrix limit

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30)

Related Items (8)

On defining the distributions \(\delta^k\) and \((\delta')^k\) by fractional derivatives ⋮ On powers of the Heaviside function for negative integers ⋮ The composition of the distributions x−λlnsx− and x+−r/λ ⋮ On defining the distributions \(\delta^{r}\) and \((\delta')^{r}\) by conformable derivatives ⋮ On the neutrix composition of the distributionsx^−sln^m|x| andx^r ⋮ On powers of the compositions involving Dirac-delta and infinitely differentiable functions ⋮ Interpretations of some distributional compositions related to Dirac delta function via Fisher's method ⋮ Four particular cases of the Fourier transform

Cites Work

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• On defining the generalized functions \(\delta^ \alpha(z)\) and \(\delta^ n(x)\)
• Introduction to the neutrix calculus
• A non-commutative neutrix product of distributions
• On Defining the Convolution of Distributions
• On the Distributions δ^k and (δ')^k
• On the distribution

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