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Roumieu型ω-超广义函数空间的支集问题

A support set problem in ω-ultradistributions of Roumieu tape
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摘要 利用Fourier-Laplace变换对Roumieu型ω-超广义函数空间D′{ω}(Rn)进行了讨论,给出了D′{ω}(Rn)的支集为紧集的一个条件. It is one of the most important methords in the theory of contemporary partial differential equations using distributions and ultradistributions. To study linear partial differential operators. In this paper, the ω- ultradistributions D′{ω}（Rn） was discussed,and a condition for the support set of D′{ω}（Rn） to be compact was given.
作者 李爱枝
机构地区 广州大学松田学院基础部
出处 《周口师范学院学报》 CAS 2009年第2期33-34,56,共3页 Journal of Zhoukou Normal University
关键词 加权函数 Fourier-laplace变换 卷积 ω-超广义函数空间 weighet function fourier-laplace transform convolution, ω - ultradistributions
分类号 O177.4 [理学—基础数学]
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参考文献6

  • 1Beurling A. Quasi-aualyticity and general distributions Lectures 4 and 5 [M]. AMS SummerIustitute, Standford,1961.
  • 2Bjorck G. Linear partial differential operators and generalized distributions [J]. Ark. Math. , 1965, 6:351 - 407.
  • 3Bonet J, Meise R. Ultradistributions of brurling type and projective descriptions[J]. J. Math. Anal. andAppl, 2001,255:122 - 136.
  • 4Bonet J,Meise R. Quasianalytic functional and projective descriptions[J]. Math. Scand, 2004,94 : 249 - 266.
  • 5Braun RW, Meise R, Taylor B A. Ultradifferentiable functions and Fourier analysis[J]. ResulteMath. , 1990, 17:206 - 237.
  • 6王光,李爱枝.超可微函数空间ε＊和D＊中的乘法和卷积运算[J].数学学报（中文版）,2008,51(1):61-68. 被引量：8

二级参考文献17

  • 1Beurling A., Quasi-aualyticity and general distributions, Lectures 4 and 5, AMS Summer Institute, Standford, 1961.
  • 2Petzsche H. J., Vogt D., Almost analytic of ultradifferentiable functions and the boundary values of holomorphic functions, Math. Ann., 1984, 267: 17-35.
  • 3Bjock G., Linear partial differential operators and generalized distributions, Ark. Math., 1965, 6: 351-407.
  • 4Cioranescu I., Zsido L., ω-ultradistributions and their applications to operator theory, LNM 325, Berlin, New York: Sprnger, 1973.
  • 5Komatsu H., Ultradistribuyions Ⅰ., Stracture theorems anda characterization, J. Fac. Sci. Tokyo Sec. IA, 1973, 20: 25-105.
  • 6Komatsu H., Ultradistribuyions Ⅱ, The kernel theorems and ultradistribuyions with support in a submanifold, J. Fac. Sci. Tokyo Sec. IA, 1977, 24: 607-628.
  • 7Meise R., Taylor-B. A., Vogt D., Characterization of the linear partial differential operators with constant coefficients that admidt a continuous linear right inverse, Ann. Inst. Fourier (Grenoble), 1990, 40: 619-655.
  • 8Bonet J., Braun R. W., Meise R., Taylor B. A., Whitney's extension theorem for non-quasianalytic classes of ultradifferentiable functions, Studia Math. 19917 99(2): 155-184.
  • 9Bonet J., Fernandez C., Meise R., Characterization of the ω-hypoelliptic convolution operators on ultradistributions, Ann. Acad. Sci. Fenn. Math., 2000, 25: 261-284.
  • 10Bonet J., Meise R., Ultradistributions of beurling type and projective descriptions, J. Math. Anal. and Appl., 20017 255: 122-136.

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周口师范学院学报
2009年 第2期

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