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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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참고문헌 (4)
참고문헌 신청
A. Beurling / 1961 / Quasi-analyticity and general distributions, Lectures 4 and 5 / AMS Summer institute
G. BjÄorck / 1966 / Linear partial differential operators and generalized distributions / Ark. Mat 6:351~407
K. W. Braun / 1990 / Ultradifferentiable functions and Fourier Analysis / Results Math 17(3-4):206~237
M. W.Wong / 1991 / An Intorduction to Pseudo-differential operators / World Scientific Publishing Co :1~39
G. BjÄorck / 1966 / Linear partial differential operators and generalized distributions / Ark. Mat 6:351~407
K. W. Braun / 1990 / Ultradifferentiable functions and Fourier Analysis / Results Math 17(3-4):206~237
M. W.Wong / 1991 / An Intorduction to Pseudo-differential operators / World Scientific Publishing Co :1~39
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