On products of distributions involving delta function and its partial derivatives

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概要

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• Li Banghe and Li Yaqing defined in \cite{lb} theproduct $S\circ T$ as a hyperdistribution (we callhyperdistributions to the complex linear functional of$\D(\IR^{n})$ in ${}^{\rho}\IC'$) for $S$ and $T$ in $D'(\IR^{n})$and they calculated $\delta\circ\delta$. In this paper, we shallobtain expressions for the products $\delta\circ\frac{\partial}{\partial x_{i}}\delta$ and$\frac{\partial}{\partial x_{i}}\delta\circ\frac{\partial}{\partial x_{i}}\delta$ for $i=1,\dots,n$,and for even $n$, these products have the Hadamard finite partnonzero.

• 広島大学の論文

著者

• Molina Sandra

  Facultad De Ciencias Exactas Y Naturales Universidad Nacional De Mar Del Plata

関連論文

• On products of distributions involving delta function and its partial derivatives

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