본문 바로가기
KERD
논문KCI 등재

A ROLE OF SYMBOLS OF MINIMUM TYPE IN EXPONENTIAL CALCULUS

이창훈
영남수학회 (Youngnam Mathematical Society)|2016.01|East Asian Mathematical Journal|제32권 제1호|pp. 35-41|DOI http://dx.doi.org/10.7858/eamj.2016.004

1

조회

0

다운로드

1

인용

0

참고문헌

키워드

SymbolExponential calculusPseudodi erential operator
주제분류수학

초록

We introduce formal symbols of product type and of minimumtype and show that the formal power series representation for ep is a formalsymbol of product type, where p is a formal symbol of minimum type.

Abstract

We introduce formal symbols of product type and of minimumtype and show that the formal power series representation for ep is a formalsymbol of product type, where p is a formal symbol of minimum type.

참고문헌 (16)

  1. Aoki, T., "Calcul exponentiel des operateurs microdifferentiels d'ordre infini. I", Ann. Inst. Fourier, Grenoble, s33(4), pp.227~250 (1983)
  2. Aoki, T., "Symbols and formal symbols of pseudodifferential operators, Advanced Syudies in Pure Math., v. 4 (K.Okamoto, ed.), Group Representation and Systems of Differential Equations", Proceedings Tokyo 1982, pp.181~208 (1984), Kinokuniya
  3. Aoki, T, "Exponential calculus of pseudodifferential operators", Sugaku, 35(4), pp.302~315 (1983)
  4. Aoki, T, "The exponential calculus of microdifferential operators of infinite order III", Proc. Japan Acad. Ser. A math Sci., 59(3), pp.79~82 (1983)
  5. 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)
  6. 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)
  7. Aoki, T., "The theory of symbols of pseudodifferential operators with infinite order", Lectures in Mathematical Sciences, 14 (1997), Univ. of Tokyo
  8. Aoki, T, "Invertibility for microdifferential operators of Infinite Order", Publ. RIMS, Kyoto Univ., 18, pp.1~29 (1982)
  9. Kataoka, K., "On the theory of Radon transformations of hyperfunctions and its applications", Master, pp.1976
  10. Kataoka, K, "On the theory of hyperfunctions", J. Fac. Sci. Univ. Tokyo Sect. IA, 28, pp.331~412 (1981)
  11. Kataoka, K, "Microlocal energy methods and pseudo-differential operators", Invent. math., 81, pp.305~340 (1985)
  12. 이창훈, "Composition of pseudodifferential operators of product type", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 12(3), pp.289~298 (2009), 장전수학회
  13. 이창훈, "Exponential function of pseudodifferential operator of minimum type", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 14(1), pp.145~156 (2011), 장전수학회
  14. Lee, C. H, "The exponential calculus of pseudodifferential operators of minimum type. I", Proceedings of the Japan Academy, 89(1), pp.6~10 (2013)
  15. C. H. Lee, "Formal adjoint of pseudodifferential operator of product type", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 17(2), pp.299~305 (2014), 장전수학회
  16. Sato, M., "Microfunctions and Pseudodifferential Equations, Hyperfunctions and Pseudo-Differential Equations (H.Komatsu, ed.), Pro-ceeding, Katata 1971", Lecture Notes in Math., 287, pp.265~529 (1973), Springer

관련 논문AI추천

Symbols of Minimum Type and of Zero Class in Exponential Calculus이창훈영남수학회 · East Asian Mathematical Journal2018 · 제34권 제1호Exponential function of pseudodifferential operator of minimum type이창훈장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2011 · 제14권 제1호Exponential Approximations On Multiplicative CalculusAli Ozyapici, Emine Misirli장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2009 · 제12권 제2호Notes on a Non-Associative Algebra with Exponential Functions II최설희대한수학회 · 대한수학회보2007 · 제44권 제2호SUMS OF FINITE PRODUCTS OF ORDERED BELL FUNCTIONS김대산, 김태균, 장관우, DMITRY V. DOLGY, Toufik Mansour장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제3호A NOTE ON ASSOCIATED SEQUENCES OF POLYNOMIALS김태균, 박진우, 임석훈, DMITRY V. DOLGY장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제2호

이 간행물의 다른 논문 (13건)

TRANSVERSAL HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KAEHLER MANIFOLD OF A QUASI-CONSTANT CURVATURE진대호pp. 1-11CONVERGENCE OF NEWTON'S METHOD FOR SOLVING A NONLINEAR MATRIX EQUATION김현민, 이현정, Jie Mengpp. 13-25ON REFINEMENTS OF HÖOLDER'S INEQUALITY II배정은, 권언근pp. 27-33SOME INTEGRAL REPRESENTATIONS OF THE CLAUSEN FUNCTION Cl2(x) AND THE CATALAN CONSTANT G최준상pp. 43-46BI-UNIVALENT FUNCTIONS OF COMPLEX ORDER BASED ON SUBORDINATE CONDITIONS INVOLVING HURWITZ-LERCH ZETA FUNCTION조낙은, G. Murugusundaramoorthy, T. Jananipp. 47-59
원문 보기