• Communications of the Korean Mathematical Society
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• v.14 no.2
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• pp.353-364
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• 1999

We found the characterizations for convolution operators in the Beurling`s generalized distribution space to be hyperbolic.

• Journal of the Korean Mathematical Society
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• v.27 no.1
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• pp.33-45
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• 1990

• Journal of the Chungcheong Mathematical Society
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• v.28 no.2
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• pp.269-286
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• 2015

In this paper, we extend the concept of the pseudo differential operators in the usual Schwartz's distribution spaces to the one of the generalized pseudo differential operators in the Beurling's generalized distribution spaces. And we shall investigate some properties of the generalized pseudo differential operators including the generalized pseudo local property. Finally, we will study the smoothness and properly supported property of these operators.