The composition of the distributions x−λlnsx− and x+−r/λ

DOI10.1142/S1793557120500618zbMath1455.46045OpenAlexW2898192085MaRDI QIDQ5113055

Emin Özçağ, Brian Fisher

Publication date: 10 June 2020

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557120500618

zbMATH Keywords

distributioncompositionneutrix limitHadamard finite partregular sequencedelta sequenceDirac-delta function

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Approximation by other special function classes (41A30)

Cites Work

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• Introduction to the neutrix calculus
• On powers of the compositions involving Dirac-delta and infinitely differentiable functions
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• Regularization, pseudofunction, and Hadamard finite part
• Defining distribution composition (|x|μ)−s
• Quantum cosmology and late-time singularities
• On the composition of the distributions x-s+ lnmx+ and xμ+
• On the Distributions δ^k and (δ')^k
• The theory of generalized functions
• Defining the \(k\)th powers of the Dirac-delta distribution for negative integers

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