Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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THE PROPERLY SUPPORTED GENERALIZED PSEUDO DIFFERENTIAL OPERATORS

  • Kang, Buhyeon (Department of Applied Mathematics Seokyeong University)
  • Received : 2015.01.24
  • Accepted : 2015.04.29
  • Published : 2015.05.15
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Abstract

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.

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References

  1. A. Beurling, Quasi-analyticity and general distributions, Lectures 4 and 5. AMS Summer institute, Stanford, 1961.
  2. G. Bjorck, Linear partial differential operators and generalized distributions, Ark. Mat. 6 nr 21 (1966), 351-407. https://doi.org/10.1007/BF02590963
  3. K. W. Braun, K. Meise, and B. A. Taylor, Ultradifferentiable functions and Fourier Analysis, Results Math. 17 (3-4) (1990), 206-237. https://doi.org/10.1007/BF03322459
  4. M. W.Wong, An Intorduction to Pseudo-differential operators, World Scientific Publishing Co. (1991), 1-39.