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Abstract: We show that the ultradifferentiable-like classes of smooth functions introduced and studied by S. Pilipovi?, N. Teofanov and F. Tomic are special cases of the general framework of spaces of ultradifferentiable functions defined in terms of weight matrices in the sense of A. Rainer and the third author. We study classes "beyond geometric growth factors" defined in terms of a weight sequence and an exponent sequence, prove that these new types admit a weight matrix representation and transfer known results from the matrix-type to such a non-standard ultradifferentiable setting.
Fuente: Journal of Mathematical Analysis and Applications, 2023, 526(21), 127260
Publisher: Academic Press Inc.
Publication date: 01/12/2023
No. of pages: 33
Publication type: Article
DOI: 10.1016/j.jmaa.2023.127260
ISSN: 0022-247X,1096-0813
Spanish project: PID2019-105621GB-I00
Publication Url: https://doi.org/10.1016/j.jmaa.2023.127260
Consult in UCrea Read publication
JESUS JAVIER JIMENEZ GARRIDO
NENNING, DAVID NICOLAS
SCHINDL, GERHARD
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