A Transfer Principle for the Continuations of Real Functions to the Levi-Civita Field

We discuss the properties of the continuations of real functions to the Levi-Civita field. In particular, we show that, whenever a function f is analytic on a compact interval [ a , b ] ⊂ ℝ, f and its analytic continuation f̅ ∞ satisfy the same properties that can be expressed in the language of rea...

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Veröffentlicht in:	P-adic numbers, ultrametric analysis, and applications ultrametric analysis, and applications, 2018-07, Vol.10 (3), p.179-191
1. Verfasser:	Bottazzi, Emanuele
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Analytic functions Mathematical analysis Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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