논문KCI 등재
Composition of pseudodifferential operators of product type
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We introduce symbols of product type and investigate various properties about such symbols. Our main result is that the set of pseudodifferential operators of product type is closed under the operator composition. This result is a partial generalization of T. Aoki’s theory of exponential calculus of pseudo-differential operators.
Abstract
We introduce symbols of product type and investigate various properties about such symbols. Our main result is that the set of pseudodifferential operators of product type is closed under the operator composition. This result is a partial generalization of T. Aoki’s theory of exponential calculus of pseudo-differential operators.
참고문헌 (12)
- Aoki, T, "Calcul exponentiel des op´erateurs microdiff´erentiels d’ordre infini", I, Ann. Inst. Fourier, Grenoble, 33(4), pp.227~250 (1983)
- Aoki, T, "Symbols and formal symbols of pseudodifferential operators, Advanced Syudies in Pure Math", pp.181~208 (1984), Amsterdam
- Aoki, T, "Exponential calculus of pseudodifferential operators", Sˆugaku, 35(4), pp.302~315 (1983)
- Aoki, T, "The exponential calculus of microdifferential operators of infinite order III", Japan Acad. Ser. A math Sci, 59(3), pp.79~82 (1983)
- Aoki, T, "The exponential calculus of microdifferential operators of infinite order II", Japan Acad. Ser. A Math . Sci, 58(4), pp.154~157 (1982)
- Aoki, T, "The exponential calculus of microdifferential operators of infinite order I", Japan Acad. Ser. A Math . Sci, 58(2), pp.58~61 (1982)
- Aoki, T, "The theory of symbols of pseudodifferential operators with infinite order, Lectures in Mathematical Sciences", pp.14~ (1997), Univ. of Tokyo
- Aoki, T, "Invertibility for microdifferential operators of Infinite Order", pp.1~29 (1982), RIMS, Kyoto Univ
- Kataoka, K, "On the theory of Radon transformations of hyperfunctions and its applications", 석사, pp.1976
- Kataoka,K, "On the theory of hyperfunctions", J. Fac. Sci. Univ. Tokyo Sect. IA, 28, pp.331~412 (1981)
- Kataoka, K, "Microlocal energy methods and pseudo differential operators", Invent. math, 81, pp.305~340 (1985)
- Sato, M, "Microfunctions and Pseudodifferential Equations, Hyperfunctions and Pseudo-Differential Equations", pp.265~529 (1973), Springer
관련 논문AI추천
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