Fractional non-Archimedean calculus in many variables

P-Adic Numbers, Ultrametric Analysis, and Applications

Volumn 5, Issue 1, 2013, Pages 22-64

  Nagel, E ^a  

^a INSTITUT DE MATHÉMATIQUES DE JUSSIEU   (France)

Author keywords

fractional differentiability; Mahler basis; many variables; non Archimedean

Indexed keywords

EID: 84879052352     PISSN: 20700466     EISSN: 20700474     Source Type: Journal    
DOI: 10.1134/S2070046613010032     Document Type: Article

References (10)

1. n-functions,” Report 9309, Mathematisch Institut (Katholieke Universiteit, Nijmegen, 1993).
2. 2(Qp). Astérisque 330, 155–211 (2010).
3. W. Bertram, H. Glöckner, and K. Neeb, “Differential calculus over general basis fields and rings,” Exposit. Math. 22(3), 213–282 (2004).
4. P. Colmez, “Fonctions d’une variable p-adique,” Astérisque, 319, 187–212 (2008).
5. k-maps in multivariable non-Archimedean analysis,” Bull. Belg.Math. Soc. Simon Stevin 14, 877–904 (2007).
6. H. Glöckner, “Exponential laws for ultrametric partially differentiable functions and applications,” [arXiv:1209.1384] (2012).
7. E. Nagel, “Fractional non-archimedean differentiability,” Münstersches Informations- und Archivsystem für multimediale Inhalte (miami.uni-muenster.de), pages 1–187 (2011).
8. E. Nagel, “Fractional non-archimedean calculus in one variable,” p-Adic Numb. Ultram. Anal. Appl. 4(4), 271–305 (2012).
9. W. Schikhof, Ultrametric Calculus: An Introduction to p-Adic Analysis (Cambridge Univ. Press, 1984).
10. A. van Rooij, Non-Archimedean Functional Analysis (Marcel Dekker, 1978).