@article{10902/32278,
year = {2023},
month = {12},
url = {https://hdl.handle.net/10902/32278},
abstract = {We show that the ultradifferentiable-like classes of smooth functions introduced and studied by S. Pilipović, N. Teofanov and F. Tomić 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.},
organization = {J. Jiménez-Garrido is supported by Ministerio de Ciencia e Innovación project PID2019-105621GB-I00, D.N. Nenning and G. Schindl are supported by FWF-Project P33417-N.},
publisher = {Academic Press Inc.},
publisher = {Journal of Mathematical Analysis and Applications, 2023, 526(21), 127260},
title = {On generalized definitions of ultradifferentiable classes},
author = {Jiménez Garrido, Jesús Javier and Nenning, David Nicolas and Schindl, Gerhard},
}