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Displaying 81 – 100 of 118

On the non-commutative neutrix product $ln x_{+} \circ x_{+}^{- s}$

Brian Fisher, Adem Kiliçman, Blagovest Damyanov, J. C. Ault (1996)

Commentationes Mathematicae Universitatis Carolinae

The non-commutative neutrix product of the distributions $ln x_{+}$ and $x_{+}^{- s}$ is proved to exist for $s = 1, 2, ...$ and is evaluated for $s = 1, 2$ . The existence of the non-commutative neutrix product of the distributions $x_{+}^{- r}$ and $x_{+}^{- s}$ is then deduced for $r, s = 1, 2, ...$ and evaluated for $r = s = 1$ .

On the noncommutative neutrix product of distributions.

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

Abstract and Applied Analysis

On the Non-commutative Neutrix Product of $x_{+}^{l} a m b d a$ and $x_{+}^{- l a m b d a - r}$

Brian Fisher, Fatma Al-Sirehy (1999)

Publications de l'Institut Mathématique

On the non-commutative neutrix product of $x_{+}^{λ}$ and $x_{+}^{- λ - 1}$ .

Brian, Fisher, Al-Sirehy, Fatma (2000)

Novi Sad Journal of Mathematics

On the non-commutative neutrix product $(x_{+}^{r} ln x_{+}) \circ x_{-}^{- s}$ .

Kiliçman, Adem, Fisher, Brian (1996)

Georgian Mathematical Journal

On the orders of the extensions of linear functionals to distributions

P. Mankiewicz (1973)

Studia Mathematica

On the Paley-Wiener-Schwartz isomorphism in Hilbert spaces

Colombeau, J.F., Paques, O.T.W. (1985/1986)

Portugaliae mathematica

On the Quasiasymptotic Behaviour of the Stieltjes Transformation of Distributions

Stevan Pilipović (1986)

Publications de l'Institut Mathématique

On the range of convolution operators on non-quasianalytic ultradifferentiable functions

Jóse Bonet, Antonio Galbis, R. Meise (1997)

Studia Mathematica

Let $ℇ_{(ω)} (Ω)$ denote the non-quasianalytic class of Beurling type on an open set Ω in $ℝ^{n}$ . For $μ \in ℇ_{(ω)}^{'} (ℝ^{n})$ the surjectivity of the convolution operator $T_{μ} : ℇ_{(ω)} (Ω_{1}) \to ℇ_{(ω)} (Ω_{2})$ is characterized by various conditions, e.g. in terms of a convexity property of the pair $(Ω_{1}, Ω_{2})$ and the existence of a fundamental solution for μ or equivalently by a slowly decreasing condition for the Fourier-Laplace transform of μ. Similar conditions characterize the surjectivity of a convolution operator $S_{μ} : D_{ω}^{'} (Ω_{1}) \to D_{ω}^{'} (Ω_{2})$ between ultradistributions of Roumieu type whenever $μ \in ℇ_{ω}^{'} (ℝ^{n})$ . These...

On the Range of the Radon Transform and its Dual.

Alexander Hertle (1984)

Mathematische Annalen

On the sign of Colombeau functions and applications to conservation laws

Jiří Jelínek, Dalibor Pražák (2009)

Commentationes Mathematicae Universitatis Carolinae

A generalized concept of sign is introduced in the context of Colombeau algebras. It extends the sign of the point-value in the case of sufficiently regular functions. This concept of generalized sign is then used to characterize the entropy condition for discontinuous solutions of scalar conservation laws.

Currently displaying 81 – 100 of 118

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Displaying 81 – 100 of 118

On the non-commutative neutrix product $ln x_{+} \circ x_{+}^{- s}$

On the noncommutative neutrix product of distributions.

On the Non-commutative Neutrix Product of $x_{+}^{l} a m b d a$ and $x_{+}^{- l a m b d a - r}$

On the non-commutative neutrix product of $x_{+}^{λ}$ and $x_{+}^{- λ - 1}$ .

On the non-commutative neutrix product $(x_{+}^{r} ln x_{+}) \circ x_{-}^{- s}$ .

On the orders of the extensions of linear functionals to distributions

On the Paley-Wiener-Schwartz isomorphism in Hilbert spaces

On the Quasiasymptotic Behaviour of the Stieltjes Transformation of Distributions

On the range of convolution operators on non-quasianalytic ultradifferentiable functions

On the Range of the Radon Transform and its Dual.

On the sign of Colombeau functions and applications to conservation laws

On the sine integral and the convolution.

On the singular support of distributions and Fourier transforms on symmetric spaces

On the singular support of the distributional determinant

On the solution $n$ -dimensional of the product $\otimes k$ operator and diamond Bessel operator.

On the solution of distributional Abel integral equation by distributional Sumudu transform.

On the space D'(l) of sequential distributions.

On the spectrum of the distributional kernel related to the residue.

On the structure of certain ultradistributions.

On the structure of Mellin distributions

Currently displaying 81 – 100 of 118