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Equivalence of the defining sequences for ultradistributions


Authors: Soon-Yeong Chung and Dohan Kim
Journal: Proc. Amer. Math. Soc. 118 (1993), 93-94
MSC: Primary 46F05; Secondary 26E10
MathSciNet review: 1163331
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Abstract: We prove that $ M_p^{\ast}p! \sim {M_p}$. This result is a stronger version of the conjecture $ M_p^{\ast}p! \supset {M_p}$ which has been given by Komatsu in Ultradistributions I, Structure theorems and a characterization (J. Fac. Sci. Univ. Tokyo Sect. IA 20 (1973), 25-105).


References [Enhancements On Off] (What's this?)

  • [1] Hikosaburo Komatsu, Ultradistributions. I. Structure theorems and a characterization, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 20 (1973), 25–105. MR 0320743
  • [2] S. Mandelbrojt, Séries adhérentes, régularisation des suites, applications, Gauthier-Villars, Paris, 1952 (French). MR 0051893

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1993-1163331-2
Keywords: Defining function, ultradistribution, equivalent
Article copyright: © Copyright 1993 American Mathematical Society