On the neutrix composition of the distributionsx−slnm|x| andxr

DOI10.1080/00036810903518967zbMath1194.46061OpenAlexW1972125812WikidataQ58179234 ScholiaQ58179234MaRDI QIDQ3553776

İnci Ege, Emin Özçağ, Brian Fisher

Publication date: 21 April 2010

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810903518967

zbMATH Keywords

distributionneutrix limitcomposition of distributionsneutrixdelta-function

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10)

Related Items (1)

Defining compositions of \(x_+^\mu\), \(|x|^\mu\), \(x^{-s}\), and \(x^{-s}\ln |x|\) as neutrix limit of regular sequences

Cites Work

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• On powers of the Heaviside function for negative integers
• A result on the composition of distributions
• A non-commutative neutrix product of distributions
• On Defining the Convolution of Distributions
• On the Distributions δ^k and (δ')^k
• THE INTEGRATION OF δ′(f) IN A MULTI-DIMENSIONAL SPACE
• Defining the \(k\)th powers of the Dirac-delta distribution for negative integers

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