THE PROPERLY SUPPORTED GENERALIZED PSEUDO DIFFERENTIAL OPERATORS

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Published: May 15, 2015
DOI: https://doi.org/10.14403/jcms.2015.28.2.269
Keywords:
ω-phase function, (ρ, δ)(ω)-amplitude, generalized pseudo differential operators, generalized pseudo local property, smoothing operators, properly supported
Mathematics Subject Classification (2020):
Primary 35S05

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Buhyeon Kang
Department of Applied Mathematics, Seokyeong University

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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Article Details

Issue
Vol. 28 No. 2 (2015)
Section
Articles