THE PROPERLY SUPPORTED GENERALIZED PSEUDO DIFFERENTIAL OPERATORS

• 발행기관: 충청수학회
• 저자명: Buhyeon Kang
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 28, No. 2, 269~286쪽, 전체 18쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2015.05.30

국문 초록

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.

목차

1. Introduction

2. The generalized pseudo differential operators

3. Smoothing operators and properly supported operators

키워드

ω-phase function (ρ, δ)(ω)-amplitude generalized pseudo differential operators generalized pseudo local property smoothing operators prop-erly supported.