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Volumn 123, Issue 2, 1997, Pages 151-163

A new Taylor type formula and C∞ extensions for asymptotically developable functions

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EID: 0041111269     PISSN: 00393223     EISSN: None     Source Type: Journal    
DOI: 10.4064/sm-123-2-151-163     Document Type: Article
Times cited : (9)

References (13)
  • 1
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    • Whitney's extension theorem for nonquasianalytic classes of ultradifferentiable functions
    • J. Bonet, R. W. Braun, R. Meise and B. A. Taylor, Whitney's extension theorem for nonquasianalytic classes of ultradifferentiable functions, Studia Math. 99 (1991), 155-184.
    • (1991) Studia Math. , vol.99 , pp. 155-184
    • Bonet, J.1    Braun, R.W.2    Meise, R.3    Taylor, B.A.4
  • 2
    • 0001430817 scopus 로고
    • An extension theorem of Whitney type for non quasi-analytic classes of functions
    • J. Bruna, An extension theorem of Whitney type for non quasi-analytic classes of functions, J. London Math. Soc. (2) 22 (1980), 495-505.
    • (1980) J. London Math. Soc. (2) , vol.22 , pp. 495-505
    • Bruna, J.1
  • 3
    • 0040983045 scopus 로고
    • Etude de certains systèmes de Pfaff avec singularités
    • Springer
    • R. Gérard et Y. Sibuya, Etude de certains systèmes de Pfaff avec singularités, in: Lecture Notes in Math. 712, Springer, 1979, 131-288.
    • (1979) Lecture Notes in Math. , vol.712 , pp. 131-288
    • Gérard, R.1    Sibuya, Y.2
  • 4
    • 0006982073 scopus 로고
    • Theorems of Sibuya-Malgrange type for gevrey functions of several variables
    • Y. Haraoka, Theorems of Sibuya-Malgrange type for Gevrey functions of several variables, Funkcial. Ekvac. 32 (1989), 365-388.
    • (1989) Funkcial. Ekvac. , vol.32 , pp. 365-388
    • Haraoka, Y.1
  • 6
    • 0039796459 scopus 로고
    • Classes non-quasi-analytiques et décomposition des supports des ultradistributions
    • J. M. Kantor, Classes non-quasi-analytiques et décomposition des supports des ultradistributions, An. Acad. Brasil. Ciênc. 44 (1972), 171-180.
    • (1972) An. Acad. Brasil. Ciênc. , vol.44 , pp. 171-180
    • Kantor, J.M.1
  • 7
    • 0002147237 scopus 로고
    • Asymptotic analysis for integrable connections with irregular singular points
    • Springer
    • H. Majima, Asymptotic Analysis for Integrable Connections with Irregular Singular Points, Lecture Notes in Math. 1075, Springer, 1984.
    • (1984) Lecture Notes in Math. , vol.1075
    • Majima, H.1
  • 8
    • 0040983052 scopus 로고
    • On the representation of solutions of completely integrable Pfaffian systems with irregular singular points
    • Kyoto University
    • _, On the representation of solutions of completely integrable Pfaffian systems with irregular singular points, Proc. Sem. at R.I.M.S., Kyoto University, number 483 (1981).
    • (1981) Proc. Sem. at R.I.M.S. , vol.483
  • 9
    • 0002235067 scopus 로고
    • Remarques sur les équations différentielles àpoints singuliers irréguliers
    • Équations différentielles et systèmes de Pfaff dans le champ complexe, Springer, Berlin
    • B. Malgrange, Remarques sur les équations différentielles àpoints singuliers irréguliers, in: Équations différentielles et systèmes de Pfaff dans le champ complexe, Lecture Notes in Math. 712, Springer, Berlin, 1979, 77-86.
    • (1979) Lecture Notes in Math. , vol.712 , pp. 77-86
    • Malgrange, B.1
  • 11
    • 77956456169 scopus 로고
    • Analytic extensions of differentiable functions defined in closed sets
    • H. Whitney, Analytic extensions of differentiable functions defined in closed sets, Trans. Amer. Math. Soc. 36 (1934), 63-89.
    • (1934) Trans. Amer. Math. Soc. , vol.36 , pp. 63-89
    • Whitney, H.1
  • 12
    • 0001721101 scopus 로고
    • Functions differentiable on the boundaries of regions
    • _, Functions differentiable on the boundaries of regions, Ann. of Math. 35 (1934), 482-485.
    • (1934) Ann. of Math. , vol.35 , pp. 482-485
  • 13
    • 0040983034 scopus 로고
    • Summability au plus petit terme
    • M. A. Zurro, Summability au plus petit terme, Studia Math. 113 (1995), 197-198.
    • (1995) Studia Math. , vol.113 , pp. 197-198
    • Zurro, M.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.