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

Blagovest Damyanov

Displaying similar documents to “Balanced Colombeau products of the distributions $x_{\pm}^{- p}$ and $x^{- p}$ ”

Results on Colombeau product of distributions

Blagovest Damyanov (1997)

Commentationes Mathematicae Universitatis Carolinae

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The differential $ℂ$ -algebra $𝒢 (ℝ^{m})$ of generalized functions of J.-F. Colombeau contains the space $𝒟^{'} (ℝ^{m})$ of Schwartz distributions as a $ℂ$ -vector subspace and has a notion of ‘association’ that is a faithful generalization of the weak equality in $𝒟^{'} (ℝ^{m})$ . This is particularly useful for evaluation of certain products of distributions, as they are embedded in $𝒢 (ℝ^{m})$ , in terms of distributions again. In this paper we propose some results of that kind for the products of the widely used distributions $x_{\pm}^{a}$ and $δ^{(p)} (x)$ ,...

On the noncommutative neutrix product of distributions.

Özçaḡ, Emin, Ege, İnci, Gürçay, Haşmet, Jolevska-Tuneska, Biljana (2007)

Abstract and Applied Analysis

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Core functions and core divergences of regular distributions

Zdeněk Fabián, Igor Vajda (2003)

Kybernetika

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On bounded or unbounded intervals of the real line, we introduce classes of regular statistical families, called Johnson families because they are obtained using generalized Johnson transforms. We study in a rigorous manner the formerly introduced concept of core function of a distribution from a Johnson family, which is a modification of the well known score function and which in a one-to-one manner represents the distribution. Further, we study Johnson parametrized families obtained...

A contribution to the equivalence results for the product of distributions

Jiří Jelínek (1994)

Commentationes Mathematicae Universitatis Carolinae

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Products $[S] \cdot [T]$ and $[S] \cdot T$ , defined by model delta-nets, are equivalent.

Displaying similar documents to “Balanced Colombeau products of the distributions x ± - p and x - p ”

Results on Colombeau product of distributions

On the noncommutative neutrix product of distributions.

Core functions and core divergences of regular distributions

A contribution to the equivalence results for the product of distributions

Displaying similar documents to “Balanced Colombeau products of the distributions $x_{\pm}^{- p}$ and $x^{- p}$ ”