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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Equivalence of the defining sequences for ultradistributions
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by Soon-Yeong Chung and Dohan Kim PDF
Proc. Amer. Math. Soc. 118 (1993), 93-94 Request permission

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
  • Hikosaburo Komatsu, Ultradistributions. I. Structure theorems and a characterization, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 20 (1973), 25–105. MR 320743
  • S. Mandelbrojt, Séries adhérentes, régularisation des suites, applications, Gauthier-Villars, Paris, 1952 (French). MR 0051893
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Additional Information
  • © Copyright 1993 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 118 (1993), 93-94
  • MSC: Primary 46F05; Secondary 26E10
  • DOI: https://doi.org/10.1090/S0002-9939-1993-1163331-2
  • MathSciNet review: 1163331