The product of  and  on .

Li, C.K.

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The sequential approach to the product of distribution.

Li, C.K. (2001)

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On defining the product $r^{- k} \cdot \nabla^{l} δ$ .

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The neutrix product of the distributions $x_{+}^{λ} ln x_{+}$ and $x_{-}^{- λ - r}$ .

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Bulletin of the Malaysian Mathematical Society. Second Series

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Balanced Colombeau products of the distributions $x_{\pm}^{- p}$ and $x^{- p}$

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Results on singular products of the distributions $x_{\pm}^{- p}$ and $x^{- p}$ for natural $p$ are derived, when the products are balanced so that their sum exists in the distribution space. These results follow the pattern of a known distributional product published by Jan Mikusiński in 1966. The results are obtained in the Colombeau algebra of generalized functions, which is the most relevant algebraic construction for tackling nonlinear problems of Schwartz distributions.

The elementary theory of distributions (I)

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CONTENTS Introduction........................................................................................................... 3 § 1. The abstraction principle............................................................................... 4 § 2. Fundamental sequences of continuous functions......................................... 5 § 3. The definition of distributions........................................................................ 9 § 4. Distributions as a generalization of...

Reliability for some bivariate beta distributions.

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Some results on the non-commutative neutrix product of distributions and $Γ^{(r)} (x)$ .

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Characterization of the Colombeau product of distributions

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Commentationes Mathematicae Universitatis Carolinae

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