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http://dx.doi.org/10.14403/jcms.2015.28.2.269

THE PROPERLY SUPPORTED GENERALIZED PSEUDO DIFFERENTIAL OPERATORS

Kang, Buhyeon (Department of Applied Mathematics Seokyeong University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.28, no.2, 2015 , pp. 269-286 More about this Journal

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.

Keywords

${\omega}$ -phase function; $({\rho},{\delta})({\omega})$ -amplitude; generalized pseudo differential operators; generalized pseudo local property; smoothing operators; properly supported;

Citations & Related Records

Reference

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4	M. W.Wong, An Intorduction to Pseudo-differential operators, World Scientific Publishing Co. (1991), 1-39.