The product of  and  on .

Li, C.K.

Displaying similar documents to “The product of $r^{- k}$ and $\nabla δ$ on $ℝ^{m}$ .”

The sequential approach to the product of distribution.

Li, C.K. (2001)

International Journal of Mathematics and Mathematical Sciences

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

Li, C.K., Zou, V. (2004)

International Journal of Mathematics and Mathematical Sciences

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

Fisher, Brian, Al-Sirehy, Fatma (1999)

Bulletin of the Malaysian Mathematical Society. Second Series

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

Blagovest Damyanov (2005)

Czechoslovak Mathematical Journal

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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)

Jan Mikusiński, Roman Sikorski

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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.

Nadarajah, Saralees (2005)

Mathematical Problems in Engineering

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

Kilicman, Adem (2000)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

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Characterization of the Colombeau product of distributions

Jiří Jelínek (1986)

Commentationes Mathematicae Universitatis Carolinae

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A space of generalized distributions

L. Loura (2006)

Czechoslovak Mathematical Journal

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In this paper we use a duality method to introduce a new space of generalized distributions. This method is exactly the same introduced by Schwartz for the distribution theory. Our space of generalized distributions contains all the Schwartz distributions and all the multipole series of physicists and is, in a certain sense, the smallest space containing all these series.

Displaying similar documents to “The product of r - k and ∇ δ on ℝ m .”

Displaying similar documents to “The product of $r^{- k}$ and $\nabla δ$ on $ℝ^{m}$ .”