논문KCI 등재
Exponential function of pseudodifferential operator of minimum type
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We show that an exponential function of a pseudodifferential operator of minimum type can be defined as a pseudodifferential operator of product type in a natural manner. We prepare the preliminary process which is necessary for such a definition and provide an exponential law with the aid of the definition.
Abstract
We show that an exponential function of a pseudodifferential operator of minimum type can be defined as a pseudodifferential operator of product type in a natural manner. We prepare the preliminary process which is necessary for such a definition and provide an exponential law with the aid of the definition.
참고문헌 (14)
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- Aoki, T, "Symbols and formal symbols of pseudodifferential operators, Advanced Syudies in Pure Math", pp.181~208 (1984), Oxford
- 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", Proc. Japan Acad. Ser. A Math . Sci, 58(4), pp.154~157 (1982)
- Aoki, T, "The exponential calculus of microdifferential operators of infinite order I", Proc. 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" (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)
- 이창훈, "Composition of pseudodifferential operators of product type", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 12(3), pp.289~298 (2009), 장전수학회
- Lee, C. H, "Further results of composition in exponential calculus of pseudodifferential operators of minimum type", The Journal of Korea Naval Academy, 51, pp.339~350 (2008)
- Sato, M, "Microfunctions and Pseudodifferential Equations, Hyperfunctions and Pseudo Differential Equations", pp.265~529 (1973), Springer
관련 논문AI추천
Composition of pseudodifferential operators of product typeC. H. Lee장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2011 · 제14권 제4호Composition of pseudodifferential operators of product type이창훈장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2009 · 제12권 제3호Symbols of Minimum Type and of Zero Class in Exponential Calculus이창훈영남수학회 · East Asian Mathematical Journal2018 · 제34권 제1호Asymptotic expansions of the solutions to the heat equations with hyperfunctions initial valueKunio Yoshino, Yasuyuki Oka대한수학회 · 대한수학회논문집2008 · 제23권 제4호A ROLE OF SYMBOLS OF MINIMUM TYPE IN EXPONENTIAL CALCULUS이창훈영남수학회 · East Asian Mathematical Journal2016 · 제32권 제1호Regularity of the Schr\"odinger Equation for a Cauchy-Euler Type Operator이한울, 조은성, 조홍래영남수학회 · East Asian Mathematical Journal2019 · 제35권 제1호
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