Quasianalytic Ilyashenko Algebras Journal Articles

abstract

• 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.

authors

• Speissegger, Patrick

status

• published 

publication date

• February 1, 2018

has subject area

• 0101 Pure Mathematics (FoR)
• General Mathematics (Science Metrix)

published in

• Canadian Journal of Mathematics  Journal

keywords

• FIELD
• Mathematics
• Physical Sciences
• SERIES
• Science & Technology
• generalized series expansion
• quasianalyticity
• transition map

Digital Object Identifier (DOI)

• 10.4153/cjm-2016-048-x

start page

• 218

end page

• 240

volume

• 70

issue

• 1