Self-similar functions, fractals and algebraic genericity
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- by D. Cariello, V. V. Fávaro and J. B. Seoane-Sepúlveda PDF
- Proc. Amer. Math. Soc. 145 (2017), 4151-4159 Request permission
Abstract:
We introduce the class of everywhere like functions, which helps us to recover some known classes (such as that of everywhere surjective ones). We also study the algebraic genericity of this new class together with the class of fractal functions.References
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Additional Information
- D. Cariello
- Affiliation: Departamento de Análisis Matemático, Facultad de Ciencias Matemáticas, Plaza de Ciencias 3, Universidad Complutense de Madrid, Madrid, 28040, Spain — and — Faculdade de Matemática, Universidade Federal de Uberlândia, 38.400-902, Uberlândia, Brazil
- Email: dcariello@ufu.br
- V. V. Fávaro
- Affiliation: Faculdade de Matemática, Universidade Federal de Uberlândia, 38.400-902 Uberlândia, Brazil
- MR Author ID: 843580
- Email: vvfavaro@gmail.com
- J. B. Seoane-Sepúlveda
- Affiliation: Departamento de Análisis Matemático, Instituto de Matemática Interdisciplinar, Facultad de Ciencias Matemáticas, Plaza de Ciencias 3, Universidad Complutense de Madrid, Madrid, 28040, Spain
- MR Author ID: 680972
- Email: jseoane@ucm.es
- Received by editor(s): August 30, 2016
- Received by editor(s) in revised form: October 24, 2016
- Published electronically: April 4, 2017
- Additional Notes: The first author was supported by CNPq-Brazil Grant 245277/2012-9
The second author was supported by FAPEMIG Grant PPM-00086-14 and CNPq Grants 482515/2013-9, 307517/2014-4
The third author was supported by MTM2015-65825-P - Communicated by: Ken Ono
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 4151-4159
- MSC (2010): Primary 15A03, 26A15
- DOI: https://doi.org/10.1090/proc/13552
- MathSciNet review: 3690602