Subanalytic blow-$\mathcal {C}^m$ functions
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- by Andreas Fischer and Krzysztof Kurdyka PDF
- Proc. Amer. Math. Soc. 137 (2009), 2285-2291 Request permission
Abstract:
We describe rings of subanalytic functions which become continuously differentiable after finitely many local blowings-up with analytic centers.References
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Additional Information
- Andreas Fischer
- Affiliation: Department of Mathematics and Statistics, University of Saskatchewan, 106 Wiggins Road, Saskatoon, Saskatchewan, S7N 5E6, Canada
- Address at time of publication: Fields Institute, 222 College Street, Toronto, Ontario, M5T 3J1, Canada
- Email: el.fischerandreas@web.de
- Krzysztof Kurdyka
- Affiliation: Laboratoire de Mathématiques LAMA, UMR-5127 CNRS, Université de Savoie, Campus Scientifique, 73376 Le Bourget-du-Lac Cedex, France
- Email: kurdyka@univ-savoie.fr
- Received by editor(s): March 13, 2008
- Published electronically: February 12, 2009
- Additional Notes: This research was partially supported by the NSERC discovery grant of Dr. Salma Kuhlmann
- Communicated by: Varghese Mathai
- © Copyright 2009 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 137 (2009), 2285-2291
- MSC (2000): Primary 32B20, 14P10; Secondary 03C64, 14E15, 14P15, 32C05, 58A07
- DOI: https://doi.org/10.1090/S0002-9939-09-09643-9
- MathSciNet review: 2495261