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On Non Quasi-Analytic Classes of Functions and the Space of Whitney Jets of Class M

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Part of the book series: International Society for Analysis, Applications and Computation ((ISAA,volume 8))

Abstract

We investigate some problems on the space E M (Ω) (resp. E[ω] (Ω)) of ultradifferentiable functions of class \( M = {\left( {{M_k}} \right)_{k \in {N_0}\left( { = N \cup \left\{ 0 \right\}} \right)}} \) (resp. Beurling, Roumieu type) and that of E M (K) (resp. E [ω](K)) of Whitney jets of class M (resp. Beurling, Roumieu type) on a compact set K in R n. Also we consider the problems on non quasi-analytic classes of functions. Here M (resp. [ω]) stands for (M k ) or {M k } (resp. (ω) or {ω}.

This work was supported by Pusan National University Research Grant.

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References

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© 2000 Kluwer Academic Publishers

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Park, Y.S. (2000). On Non Quasi-Analytic Classes of Functions and the Space of Whitney Jets of Class M. In: Begehr, H.G.W., Gilbert, R.P., Kajiwara, J. (eds) Proceedings of the Second ISAAC Congress. International Society for Analysis, Applications and Computation, vol 8. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0271-1_3

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  • DOI: https://doi.org/10.1007/978-1-4613-0271-1_3

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7971-3

  • Online ISBN: 978-1-4613-0271-1

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