Khodr Shamseddine

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All published works

Action	Title	Year	Authors
+	On a Lebesgue-like Measure on the Levi-Civita Space $$\mathcal{R} ^j$$	2024	M. Restrepo Borrero Khodr Shamseddine
+ PDF Chat	On the analyticity of WLUD<sup>∞</sup> functions of one variable and WLUD<sup>∞</sup> functions of several variables in a complete non-Archimedean valued field	2022	Khodr Shamseddine
+	On a new measure on the Levi-Civita field $\mathcal{R}$	2022	M. Restrepo Borrero Vatsal Srivastava Khodr Shamseddine
+	On the analyticity of WLUD$^\infty$ functions of one variable and WLUD$^\infty$ functions of several variables in a complete non-Archimedean valued field.	2021	Khodr Shamseddine
+	Taylor’s Theorem, the Inverse Function Theorem and the Implicit Function Theorem for Weakly Locally Uniformly Differentiable Functions on Non-Archimedean Spaces$$^*$$	2021	Khodr Shamseddine
+	On Non-Archimedean Valued Fields: A Survey of Algebraic, Topological and Metric Structures, Analysis and Applications	2021	Khodr Shamseddine Angel Barría Comicheo
+	On the analyticity of WLUD$^\infty$ functions of one variable and WLUD$^\infty$ functions of several variables in a complete non-Archimedean valued field	2021	Khodr Shamseddine
+	On computational applications of the Levi-Civita field	2020	Darren Flynn Khodr Shamseddine
+	On the topological structure of a Hahn field and convergence of power series	2019	Darren Flynn Khodr Shamseddine
+	On the topological structure of the Hahn field and convergence of power series.	2019	Darren Flynn Khodr Shamseddine
+	On an Operator Theory on a Banach Space of Countable Type over a Hahn Field	2019	Khodr Shamseddine Changying Ding
+	On the topological structure of the Hahn field and convergence of power series	2019	Darren Flynn Khodr Shamseddine
+	Advances in Ultrametric Analysis	2018	Alain Escassut C. Pérez-García Khodr Shamseddine
+ PDF Chat	Erratum to: “One-Variable and Multi-Variable Calculus on a Non-Archimedean Field Extension of the Real Numbers”	2018	Khodr Shamseddine
+	On Integrable Delta Functions on the Levi-Civita Field	2018	Darren Flynn Khodr Shamseddine
+ PDF Chat	Calculus on a non-Archimedean field extension of the real numbers: inverse function theorem, intermediate value theorem and mean value theorem	2018	Gidon Bookatz Khodr Shamseddine
+	Summary on non-Archimedean valued fields	2018	Angel Barría Comicheo Khodr Shamseddine
+	Positive operators on a free Banach space over the complex Levi-Civita field	2017	José Aguayo Miguel Nova Khodr Shamseddine
+	Advances in Non-Archimedean Analysis	2016	Helge GlÃ¶ckner Alain Escassut Khodr Shamseddine
+	Measure theory and Lebesgue-like integration in two and three dimensions over the Levi-Civita field	2016	Khodr Shamseddine Darren Flynn
+	Inner product on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msup><mml:mrow><mml:mi>B</mml:mi></mml:mrow><mml:mrow><mml:mo>∗</mml:mo></mml:mrow></mml:msup></mml:math>-algebras of operators on a free Banach space over the Levi-Civita field	2014	José Aguayo Miguel Nova Khodr Shamseddine
+	Analysis on the Levi-Civita field and computational applications	2014	Khodr Shamseddine
+	Advances in Ultrametric Analysis	2013	Alain Escassut C. Pérez-García Khodr Shamseddine
+ PDF Chat	One-variable and multi-mariable calculus on a non-Archimedean field extension of the real numbers	2013	Khodr Shamseddine
+	Characterization of compact and self-adjoint operators on free Banach spaces of countable type over the complex Levi-Civita field	2013	José Aguayo Miguel Nova Khodr Shamseddine
+	A brief survey of the study of power series and analytic functions on the Levi-Civita fields	2013	Khodr Shamseddine
+	Advances in ultrametric analysis : 12th International Conference p-adic Functional Analysis, July 2-6, 2012, University of Manitoba, Winnipeg, Canada	2013	Khodr Shamseddine
+	New results on integration on the Levi-Civita field	2012	Khodr Shamseddine
+ PDF Chat	On Locally Uniformly Differentiable Functions on a Complete Non-Archimedean Ordered Field Extension of the Real Numbers	2012	Khodr Shamseddine Todd Sierens
+	Advances in Non-Archimedean Analysis	2011	Helge Glöckner Alain Escassut Khodr Shamseddine
+ PDF Chat	Absolute and relative extrema, the mean value theorem and the inverse function theorem for analytic functions on a Levi-Civita field	2011	Khodr Shamseddine
+ PDF Chat	Nontrivial order preserving automorphisms of non-Archimedean fields	2011	Khodr Shamseddine
+ PDF Chat	On the topological structure of the Levi-Civita field	2010	Khodr Shamseddine
+ PDF Chat	Analysis on the Levi-Civita field, a brief overview	2010	Khodr Shamseddine Martin Berz
+	Advances in 𝑝-adic and Non-Archimedean Analysis	2010	Martin Berz Khodr Shamseddine
+	Advances in p-adic and non-Archimedean analysis : Tenth International Conference, June 30-July 3, 2008, Michigan State University, East Lansing, Michigan	2010	Non-Archimedean Analysis Martin Berz Khodr Shamseddine
+	The implicit function theorem in a non-Archimedean setting	2009	Khodr Shamseddine Trevor Rempel Todd Sierens
+	Intermediate Value Theorem for Analytic Functions on a Levi-Civita Field	2007	Martin Berz Khodr Shamseddine
+	Generalized power series on a non-Archimedean field	2006	Khodr Shamseddine Martin Berz
+ PDF Chat	Analytical properties of power series on Levi-Civita fields	2005	Khodr Shamseddine Martin Berz
+ PDF Chat	Measure theory and integration on the Levi-Civita field	2003	Khodr Shamseddine Martin Berz
+ PDF Chat	Intermediate values and inverse functions on non-Archimedean fields	2002	Khodr Shamseddine Martin Berz
+	THE DIFFERENTIAL ALGEBRAIC STRUCTURE OF THE LEVI-CIVITA FIELD AND APPLICATIONS	2000	Khodr Shamseddine Martin Berz
+	New elements of analysis on the levi-civita field (computational differentiation)	1999	Martin Berz Khodr Shamseddine

Common Coauthors

Coauthor	Papers Together
Martin Berz	10
Darren Flynn	5
Alain Escassut	4
José Aguayo	3
Miguel Nova	3
M. Restrepo Borrero	2
Angel Barría Comicheo	2
C. Pérez-García	2
Todd Sierens	2
Helge GlÃ¶ckner	1
Changying Ding	1
Helge Glöckner	1
Vatsal Srivastava	1
Gidon Bookatz	1
Trevor Rempel	1
Non-Archimedean Analysis	1
Darren Flynn	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Convergence on the Levi-Civita Field and Study of Power Series	2001	K. Shamseddine Martin Berz	18
+	Fields: Algebraically closed and others	1992	Paulo Ribenboim	17
+	Ultrametric calculus : an introduction to p-adic analysis	1984	Wilhelmus Hendricus Schikhof	14
+ PDF Chat	Analytical properties of power series on Levi-Civita fields	2005	Khodr Shamseddine Martin Berz	12
+ PDF Chat	Measure theory and integration on the Levi-Civita field	2003	Khodr Shamseddine Martin Berz	11
+	Computational differentiation : techniques, applications, and tools	1996	Martin Berz	9
+	Analysis on the Levi-Civita field and computational applications	2014	Khodr Shamseddine	8
+	THE DIFFERENTIAL ALGEBRAIC STRUCTURE OF THE LEVI-CIVITA FIELD AND APPLICATIONS	2000	Khodr Shamseddine Martin Berz	8
+	Foundations of Analysis Over Surreal Number Fields	1987	Norman L. Alling	8
+ PDF Chat	On the topological structure of the Levi-Civita field	2010	Khodr Shamseddine	7
+	Summary on non-Archimedean valued fields	2018	Angel Barría Comicheo Khodr Shamseddine	7
+ PDF Chat	Constrained second order optimization on non-archimedean fields	2003	K. Shamseddine Vera Zeidan	7
+ PDF Chat	Intermediate values and inverse functions on non-Archimedean fields	2002	Khodr Shamseddine Martin Berz	7
+ PDF Chat	Cauchy theory on Levi-Civita fields	2003	Martin Berz	6
+	Intermediate Value Theorem for Analytic Functions on a Levi-Civita Field	2007	Martin Berz Khodr Shamseddine	6
+	Über die nichtarchimedischen Größensysteme	1995	Hans Hahn	6
+	Locally Convex Spaces over Non-Archimedean Valued Fields	2010	C. Pérez-García W.H. Schikhof	5
+ PDF Chat	The universality of formal power series fields	1939	Saunders MacLane	5
+	Characterization of compact and self-adjoint operators on free Banach spaces of countable type over the complex Levi-Civita field	2013	José Aguayo Miguel Nova Khodr Shamseddine	5
+ PDF Chat	Analysis on the Levi-Civita field, a brief overview	2010	Khodr Shamseddine Martin Berz	5
+	Ultrametric Calculus	1985	W.H. Schikhof	5
+	Algebraically Closed Fields Analogous to Fields of Puiseux Series	1974	Francis J. Rayner	5
+	Modell einer Leibnizischen Differentialrechnung mit aktual unendlich kleinen Gr��en s�mtlicher Ordnungen	1941	Ludwig Neder	4
+ PDF Chat	Calculus on a non-Archimedean field extension of the real numbers: inverse function theorem, intermediate value theorem and mean value theorem	2018	Gidon Bookatz Khodr Shamseddine	4
+	Generalized power series on a non-Archimedean field	2006	Khodr Shamseddine Martin Berz	4
+	New results on integration on the Levi-Civita field	2012	Khodr Shamseddine	4
+	On p-Adic Hilbert Spaces	1947	G. K. Kalisch	3
+	Characterization of hilbert spaces by orthomodular spaces	1995	Martí Prats Soler	3
+	Inner product on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msup><mml:mrow><mml:mi>B</mml:mi></mml:mrow><mml:mrow><mml:mo>∗</mml:mo></mml:mrow></mml:msup></mml:math>-algebras of operators on a free Banach space over the Levi-Civita field	2014	José Aguayo Miguel Nova Khodr Shamseddine	3
+ PDF Chat	On Locally Uniformly Differentiable Functions on a Complete Non-Archimedean Ordered Field Extension of the Real Numbers	2012	Khodr Shamseddine Todd Sierens	3
+	Taylor’s Theorem, the Inverse Function Theorem and the Implicit Function Theorem for Weakly Locally Uniformly Differentiable Functions on Non-Archimedean Spaces$$^*$$	2021	Khodr Shamseddine	3
+ PDF Chat	Absolute and relative extrema, the mean value theorem and the inverse function theorem for analytic functions on a Levi-Civita field	2011	Khodr Shamseddine	3
+	A non-Archimedean inner product	2005	Lawrence Narici Edward Beckenstein	3
+	Real and Complex Analysis.	1987	G. A. Garreau Walter Rudin	3
+	A brief survey of the study of power series and analytic functions on the Levi-Civita fields	2013	Khodr Shamseddine	3
+	Nonarchimedean Fields and Asymptotic Expansions	1975	A. H. Lightstone Abraham Robinson	2
+ PDF Chat	Higher order numerical differentiation on the Infinity Computer	2010	Yaroslav D. Sergeyev	2
+	The implicit function theorem in a non-Archimedean setting	2009	Khodr Shamseddine Trevor Rempel Todd Sierens	2
+ PDF Chat	Nontrivial order preserving automorphisms of non-Archimedean fields	2011	Khodr Shamseddine	2
+	Measure theory and Lebesgue-like integration in two and three dimensions over the Levi-Civita field	2016	Khodr Shamseddine Darren Flynn	2
+	Real Analysis with Real Applications	2001	Kenneth R. Davidson Allan P. Donsig	2
+ PDF Chat	One-variable and multi-mariable calculus on a non-Archimedean field extension of the real numbers	2013	Khodr Shamseddine	2
+	On Integrable Delta Functions on the Levi-Civita Field	2018	Darren Flynn Khodr Shamseddine	2
+	Nonlinear Programming: Sequential Unconstrained Minimization Techniques	1968	Anthony V. Fiacco Garth P. McCormick	2
+	Positive operators on a free Banach space over the complex Levi-Civita field	2017	José Aguayo Miguel Nova Khodr Shamseddine	2
+	Functions of several variables	2010	Wendell H. Fleming	2
+	Linear and nonlinear programming.	1986		2
+	Non-Archimedean Hilbert like spaces	2007	J Aguayo Miguel Nova	2
+	Non-standard analysis	1966	Abraham Robinson	2
+	C-compactness	2010	C. Pérez-García W.H. Schikhof	1