A Real-Valued Measure on non-Archimedean Field Extensions of $$\mathbb{R}$$

Emanuele Bottazzi

Type: Article

Publication Date: 2022-02-04

Citations: 2

DOI: https://doi.org/10.1134/s2070046622010022

View Publication

Download PDF

Locations

P-Adic Numbers Ultrametric Analysis and Applications - View
arXiv (Cornell University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	A real-valued measure on non-Archimedean field extensions of $\mathbb{R}$	2020	Emanuele Bottazzi
+	On a new measure on the Levi-Civita field $\mathcal{R}$	2022	M. Restrepo Borrero Vatsal Srivastava Khodr Shamseddine
+ PDF Chat	On a New Measure on the Levi-Civita Field $$ \mathcal{R} $$	2023	M. Restrepo Borrero Vatsal Srivastava K. Shamseddine
+	On Non-Archimedean Valued Fields: A Survey of Algebraic, Topological and Metric Structures, Analysis and Applications	2021	Khodr Shamseddine Angel Barría Comicheo
+	Nonstandard Measure Spaces with Values in non-Archimedean Fields	2016	Heiko Knospe
+	Nonstandard Measure Spaces with Values in non-Archimedean Fields	2016	Heiko Knospe
+ PDF Chat	Measure theory and integration on the Levi-Civita field	2003	Khodr Shamseddine Martin Berz
+ PDF Chat	Analysis on the Levi-Civita field, a brief overview	2010	Khodr Shamseddine Martin Berz
+	Non-Archimedean Valued Fields	2016	Toka Diagana François Ramaroson
+	Measure Theory and Lebesgue Integration Theories	2015
+ PDF Chat	Lebesgue measure and integration theory on non-archimedean real closed fields with archimedean value group	2017	Tobias Kaiser
+	Non-archimedean vector measures and integral operators	2001	A. K. Kstsaras W. H. Schikhof Lucien Van Hamme
+	Non-Archimedean Vector Measures and Integral Operators	2001	Jos√© Aguayo Thomas Gilsdolf
+	Lebesgue–Stieltjes Measures on the Real Line and Distribution Functions	2014	Vigirdas Mackevičius
+	σ-FINITE BOREL MEASURES ON THE REAL LINE	1997	Thomson
+	Non-measurable sets in ordered fields	2018	Héctor M. Moreno
+	The non-Archimedean analogs of the Bochner-Kolmogorov, Minlos-Sazonov and Kakutani theorems	2000	S. V. Lüdkovsky
+ PDF Chat	A NEW NON-MEASURABLE SET AS A VECTOR SPACE	2006	Soon‐Yeong Chung
+	Loeb measure theory	2020	Nigel J. Cutland
+	Darboux property of the nonatomic σ-additive positive and finite dimensional vector measures	2013	Piotr Lorenc Roman Wituła

Works That Cite This (2)

Action	Title	Year	Authors
+ PDF Chat	Integration with filters	2022	Emanuele Bottazzi Monroe Eskew
+	An Incompatibility Result on non-Archimedean Integration	2021	Emanuele Bottazzi

Works Cited by This (35)

Action	Title	Year	Authors
+ PDF Chat	Analysis on the Levi-Civita field, a brief overview	2010	Khodr Shamseddine Martin Berz
+ PDF Chat	Real mathematical analysis	2002	Charles Chapman Pugh
+	Lectures on the hyperreals : an introduction to nonstandard analysis	1998	Robert Goldblatt
+	Non-standard analysis	1966	Abraham Robinson
+ PDF Chat	Conversion from nonstandard to standard measure spaces and applications in probability theory	1975	Peter A. Loeb
+ PDF Chat	On the nonstandard representation of measures	1972	C. Ward Henson
+	New results on integration on the Levi-Civita field	2012	Khodr Shamseddine
+	Nonstandard Measure Theory and its Applications	1983	Nigel J. Cutland
+	Infinitesimal methods in control theory: Deterministic and stochastic	1986	Nigel J. Cutland
+ PDF Chat	Topology of nonarchimedean analytic spaces and relations to complex algebraic geometry	2014	Sam Payne