Extending Hardy fields by non-${\cal C}^{\infty}$-germs
Volume 93 / 2008
Annales Polonici Mathematici 93 (2008), 281-297
MSC: Primary 26E10, 26A12; Secondary 12H05, 34E05.
DOI: 10.4064/ap93-3-8
Abstract
For a large class of Hardy fields their extensions containing non-$\mathcal{C}^{\infty}$-germs are constructed. Hardy fields composed of only non-$\mathcal{C}^{\infty}$-germs, apart from constants, are also considered.
