Convergence in spaces of rapidly increasing distributions.

Abdullah, Saleh

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Convergence of convolution operators

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Abdullah, Saleh (1990)

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On tempered convolution operators

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In this paper we show that if $S$ is a convolution operator in $S^{'}$ , and $S * S^{'} = S^{'}$ , then the zeros of the Fourier transform of $S$ are of bounded order. Then we discuss relations between the topologies of the space $O_{c}^{'}$ of convolution operators on $S^{'}$ . Finally, we give sufficient conditions for convergence in the space of convolution operators in $S^{'}$ and in its dual.

Translation invariant linear operators and generalized functions

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A note on the convolution and the product $𝒟^{'}$ and $𝒮^{'}$ .

Kamiński, A., Rudnicki, R. (1991)

International Journal of Mathematics and Mathematical Sciences

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Displaying similar documents to “Convergence in spaces of rapidly increasing distributions.”

Convergence of convolution operators

On distributions of rapid growth

Sequential theory of the convolution of distributions

On tempered convolution operators

Translation invariant linear operators and generalized functions

Convultion and S-Convultion of distributions.

A note on the convolution and the product 𝒟 ' and 𝒮 ' .

A note on the convolution and the product $𝒟^{'}$ and $𝒮^{'}$ .