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On tempered convolution operators

Saleh Abdullah — 1994

Commentationes Mathematicae Universitatis Carolinae

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.

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