Quasianalytic Ilyashenko Algebras
2018 ◽
Vol 70
(1)
◽
pp. 218-240
◽
Keyword(s):
AbstractWe construct a quasianalytic field of germs at +∞ of real functions with logarithmic generalized power series as asymptotic expansions, such that is closed under differentiation and log-composition; in particular, is a Hardy field. Moreover, the field o (−log) of germs at 0+ contains all transition maps of hyperbolic saddles of planar real analytic vector fields.
2016 ◽
Vol 23
(1)
◽
pp. 89-109
◽
2019 ◽
Vol 113
(4)
◽
pp. 4031-4049
1995 ◽
Vol 26
(2)
◽
pp. 87-93
◽
2021 ◽
Vol 477
(2255)
◽
Keyword(s):
1990 ◽
pp. 271-277
◽
1965 ◽
Vol 17
(2)
◽
pp. 185-199
◽
Keyword(s):