Estamos realizando la búsqueda. Por favor, espere...

On generalized definitions of ultradifferentiable classes

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

 Editorial: Academic Press Inc.

 Fecha de publicación: 01/12/2023

 Nº de páginas: 33

 Tipo de publicación: Artículo de Revista

 DOI: 10.1016/j.jmaa.2023.127260

 ISSN: 0022-247X,1096-0813

 Proyecto español: PID2019-105621GB-I00

 Url de la publicación: https://doi.org/10.1016/j.jmaa.2023.127260