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Function Theory on Some Nonarchimedean Fields

https://doi.org/10.2307/3038223
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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/mana.19680370308openalex-snapshot
Eine nichtarchimedische Erweiterung angeordneter Körper
inferredcites →https://doi.org/10.1007/bf01201362openalex-snapshot
Untersuchungen zur arithmetischen Theorie der K�rper
inferredcites →https://doi.org/10.1016/s1385-7258(61)50044-3openalex-snapshot
NON-STANDARD ANALYSIS
inferredcites →https://doi.org/10.2307/3038221openalex-snapshot
What Is Nonstandard Analysis?

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Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.74028openalex-extracted
Non-Archimedean Subjective Probabilities in Decision Theory and Games
inferred← citeshttps://doi.org/10.1007/978-1-4899-1591-7_9openalex-snapshot
Nonstandard Treatments of New Generalised Functions
inferred← citeshttps://doi.org/10.1007/978-3-319-31943-8_2openalex-snapshot
Catastrophic Risk, Rare Events, and Black Swans: Could There Be a Countably Additive Synthesis?
inferred← citeshttps://doi.org/10.1007/978-3-319-41538-3_2openalex-snapshot
A Topological Approach to Non-Archimedean Mathematics
inferred← citeshttps://doi.org/10.1007/978-3-319-51911-1_7openalex-snapshot
Inverse Function Theorems for Generalized Smooth Functions
inferred← citeshttps://doi.org/10.1007/978-3-642-02906-6_36openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-642-46955-8_57openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-663-05290-6_24openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-94-011-0774-7_2openalex-snapshot
Elementary Non-Archimedean Representations of Probability for Decision Theory and Games
inferred← citeshttps://doi.org/10.1007/978-94-015-8451-7_5openalex-snapshot
Nonlinear Theories of Generalized Functions
inferred← citeshttps://doi.org/10.1007/bf02756999openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf02777816openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf02829532openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf03033104openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00182-008-0139-0openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00182-016-0535-9openalex-snapshot
Characterizing solution concepts in terms of common knowledge of rationality
inferred← citeshttps://doi.org/10.1007/s00407-005-0102-4openalex-snapshot
The Rise of non-Archimedean Mathematics and the Roots of a Misconception I: The Emergence of non-Archimedean Systems of Magnitudes
inferred← citeshttps://doi.org/10.1007/s00605-013-0494-1openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00605-014-0647-xopenalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00605-016-0990-1openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00605-021-01590-0openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00605-021-01647-0openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s10440-005-6700-yopenalex-snapshot
Topological Structures in Colombeau Algebras: Topological $\widetilde{\mathbb{C}}$ -modules and Duality Theory
inferred← citeshttps://doi.org/10.1007/s10849-023-09402-4openalex-snapshot
Iterated AGM Revision Based on Probability Revision
inferred← citeshttps://doi.org/10.1007/s10992-023-09716-5openalex-snapshot
A Basis for AGM Revision in Bayesian Probability Revision
inferred← citeshttps://doi.org/10.1007/s11071-024-10223-8openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s11225-025-10178-wopenalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s11813-008-0008-yopenalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s12188-020-00216-wopenalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0315-0860(88)90065-1openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.aim.2010.04.010openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.geb.2009.03.013openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.geb.2023.07.007openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.geb.2025.09.010openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.indag.2020.06.005openalex-snapshot
Spaces of measurable functions on the Levi-Civita field
inferred← citeshttps://doi.org/10.1016/j.jet.2021.105235openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jmaa.2025.129687openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jmateco.2015.03.003openalex-snapshot
An elementary proof that additive i-likelihood characterizes the supports of consistent assessments
inferred← citeshttps://doi.org/10.1016/j.na.2021.112718openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s0079-8169(08)60579-6openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s0165-4896(99)00011-6openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s0252-9602(18)30158-9openalex-snapshot
NEW GENERALIZED FUNCTIONSIN NONSTANDARD FRAMEWORK
inferred← citeshttps://doi.org/10.1016/s0764-4442(01)02082-1openalex-snapshot
Processus complexe stochastique non standard en mécanique
inferred← citeshttps://doi.org/10.1016/s0924-6509(08)70364-7openalex-snapshot
Bibliography
inferred← citeshttps://doi.org/10.1017/psa.2021.47openalex-snapshot
Are Points (Necessarily) Unextended?
inferred← citeshttps://doi.org/10.1090/s0002-9904-1977-14277-8openalex-snapshot
Book Review: Non-archimedean fields and asymptotic expansions
inferred← citeshttps://doi.org/10.1090/s0002-9904-1977-14334-6openalex-snapshot
Abraham Robinson, 1918-1974
inferred← citeshttps://doi.org/10.1090/s0002-9939-04-07306-xopenalex-snapshot
Generalized function algebras as sequence space algebras
inferred← citeshttps://doi.org/10.1090/s0002-9939-1979-0521888-9openalex-snapshot
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inferred← citeshttps://doi.org/10.1090/s0002-9939-97-03964-6openalex-snapshot
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inferred← citeshttps://doi.org/10.1090/s0002-9947-1991-1012519-2openalex-snapshot
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inferred← citeshttps://doi.org/10.1155/s0161171298000593openalex-snapshot
An embedding of Schwartz distributions in the algebra of asymptotic functions
inferred← citeshttps://doi.org/10.11606/issn.2316-9028.v7i2p127-142openalex-snapshot
Algebraic Approach to Colombeau Theory
inferred← citeshttps://doi.org/10.1201/9780203745458-34openalex-snapshot
Pointwise Values and Fundamental Theorem in the Algebra of Asymptotic Functions
inferred← citeshttps://doi.org/10.1215/00127094-2022-0052openalex-snapshot
Non-Archimedean integrals as limits of complex integrals
inferred← citeshttps://doi.org/10.1216/jca-2017-9-2-185openalex-snapshot
Hensel's lemma and the intermediate value theorem over a non-Archimedean field
inferred← citeshttps://doi.org/10.1515/anona-2017-0150openalex-snapshot
The classical theory of calculus of variations for generalized functions
inferred← citeshttps://doi.org/10.1533/9780857099358.171openalex-snapshot
Introduction to distributions
inferred← citeshttps://doi.org/10.1533/9780857099488.1openalex-snapshot
Introduction to Distributions
inferred← citeshttps://doi.org/10.1533/9780857099488.138openalex-snapshot
Analytic Representation
inferred← citeshttps://doi.org/10.1533/9780857099488.183openalex-snapshot
Multiplication of Generalised Functions
inferred← citeshttps://doi.org/10.1533/9780857099488.221openalex-snapshot
Infinitesimal Analysis
inferred← citeshttps://doi.org/10.1533/9780857099488.251openalex-snapshot
Nonstandard Theories
inferred← citeshttps://doi.org/10.1533/9780857099488.286openalex-snapshot
References
inferred← citeshttps://doi.org/10.1533/9780857099488.53openalex-snapshot
Further Properties of Distributions
inferred← citeshttps://doi.org/10.1533/9780857099488.82openalex-snapshot
Generalised Functions and Fourier Analysis
inferred← citeshttps://doi.org/10.1533/9780857099501.1openalex-snapshot
Calculus and Infinitesimals
inferred← citeshttps://doi.org/10.1533/9780857099501.105openalex-snapshot
Further Developments
inferred← citeshttps://doi.org/10.1533/9780857099501.137openalex-snapshot
Foundations of Nonstandard Analysis
inferred← citeshttps://doi.org/10.1533/9780857099501.14openalex-snapshot
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inferred← citeshttps://doi.org/10.1533/9780857099501.163openalex-snapshot
Hyperfinite Analysis
inferred← citeshttps://doi.org/10.1533/9780857099501.192openalex-snapshot
Hyperfinite Representation of Distributions
inferred← citeshttps://doi.org/10.1533/9780857099501.210openalex-snapshot
Hyperfinite Fourier Analysis
inferred← citeshttps://doi.org/10.1533/9780857099501.238openalex-snapshot
Evolution of the concept of function
inferred← citeshttps://doi.org/10.1533/9780857099501.252openalex-snapshot
References
inferred← citeshttps://doi.org/10.1533/9780857099501.46openalex-snapshot
Introduction to Nonstandard Analysis
inferred← citeshttps://doi.org/10.1533/9780857099501.70openalex-snapshot
Applications to Elementary Real Analysis
inferred← citeshttps://doi.org/10.2140/gt.2017.21.3539openalex-snapshot
Maximal representations, non-Archimedean Siegel spaces, and buildings
inferred← citeshttps://doi.org/10.2307/2001845openalex-snapshot
Solving Ordinary Differential Equations in Terms of Series with Real Exponents
inferred← citeshttps://doi.org/10.2307/2275512openalex-snapshot
Free-variable axiomatic foundations of infinitesimal analysis: A fragment with finitary consistency proof
inferred← citeshttps://doi.org/10.25365/thesis.71697openalex-snapshot
A Fourier transform for all generalized functions
inferred← citeshttps://doi.org/10.26481/dis.20201211nmopenalex-snapshot
Beyond belief
inferred← citeshttps://doi.org/10.4064/dm230920-7-3openalex-snapshot
A Grothendieck topos of generalized functions I: basic theory
inferred← citeshttps://doi.org/10.4204/eptcs.335.27openalex-snapshot
A Deontic Stit Logic Based on Beliefs and Expected Utility
inferred← citeshttps://doi.org/10.4213/rm10235openalex-snapshot
Сходимость обобщeнных степенных рядов, удовлетворяющих функциональным уравнениям
inferred← citeshttps://doi.org/10.4213/rm10235eopenalex-snapshot
Convergence of generalized power series solutions of functional equations
inferred← citeshttps://doi.org/10.48550/arxiv.1101.5652openalex-snapshot
Completeness of Ordered Fields
inferred← citeshttps://doi.org/10.48550/arxiv.1312.0877openalex-snapshot
The intermediate value theorem over a non-Archimedean field via Hensel's Lemma
inferred← citeshttps://doi.org/10.48550/arxiv.1507.08777openalex-snapshot
A heuristic extended particle 2D-model compatible with quantum mechanics
inferred← citeshttps://doi.org/10.48550/arxiv.math/0407015openalex-snapshot
Topological structures in Colombeau algebras: topological $\widetilde{\C}$-modules and duality theory
inferred← citeshttps://doi.org/10.48550/arxiv.quant-ph/0304096openalex-snapshot
Schroedinger Proof in Minplus Complex Analysis
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