학술저널
THE PROPERLY SUPPORTED GENERALIZED PSEUDO DIFFERENTIAL OPERATORS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 28, No. 2
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2015.05269 - 286 (18 pages)
- 2
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 Beurl-ing’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.
1. Introduction
2. The generalized pseudo differential operators
3. Smoothing operators and properly supported operators
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