Abstract
We determine multiplication and convolution topological algebras for classes of ω-ultradifferentiable functions of Beurling type. Hypocontinuity and discontinuity of the multiplication and convolution mappings are also investigated.
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Acknowledgements
The authors would like to thank Andrew Debrouwere for finding a gap in the earlier version of Theorem 2.1.
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Albanese, A.A., Mele, C. (2023). Multiplication and Convolution Topological Algebras in Spaces of ω-Ultradifferentiable Functions of Beurling Type. In: Candela, A.M., Cappelletti Montano, M., Mangino, E. (eds) Recent Advances in Mathematical Analysis. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-20021-2_4
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DOI: https://doi.org/10.1007/978-3-031-20021-2_4
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