RT info:eu-repo/semantics/article
T1 Equality of ultradifferentiable classes by means of indices of mixed o-regular variation
A1 Sanz Gil, Javier
A1 Schindl, Gerhard
A1 Jiménez Garrido, Jesús Javier
K1 Classes of ultradifferentiable functions
K1 Weight sequences
K1 Functions and matrices
K1 Growth indices
K1 O-regular variation
K1 12 Matemáticas
AB We characterize the equality between ultradifferentiable function classes defined in terms of abstractly given weight matrices and in terms of the corresponding matrix of associated weight functions by using new growth indices. These indices, defined by means of weight sequences and (associated) weight functions, are extending the notion of O-regular variation to a mixed setting. Hence we are extending the known comparison results concerning classes defined in terms of a single weight sequence and of a single weight function and give also these statements an interpretation expressed in O-regular variation.
PB Springer
SN 1422-6383
YR 2021
FD 2021
LK https://uvadoc.uva.es/handle/10324/51012
UL https://uvadoc.uva.es/handle/10324/51012
LA eng
NO Results in Mathematics, 2021, vol. 77, n. 1, art. 28
NO Producción Científica
DS UVaDOC
RD 28-nov-2024