New topologies on Colombeau generalized numbers and the Fermat–Reyes theorem-Reference-Cited by-同舟云学术

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New topologies on Colombeau generalized numbers and the Fermat–Reyes theorem

Published:2013-03 Issue:1 Volume:399 Page:229-238
ISSN:0022-247X
Container-title:Journal of Mathematical Analysis and Applications
language:en
Short-container-title:Journal of Mathematical Analysis and Applications

Author:

Giordano Paolo,Kunzinger Michael

Funder

Lise Meitner

FWF

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference38 articles.

1. New Generalized Functions and Multiplication of Distributions;Colombeau,1984

2. Elementary Introduction to New Generalized Functions;Colombeau,1985

3. A Nonlinear Theory of Generalized Functions;Biagioni,1990

4. Multiplication of Distributions and Applications to Partial Differential Equations;Oberguggenberger,1992

5. Geometric Theory of Generalized Functions;Grosser,2001

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1. Infinitesimal and infinite numbers in applied mathematics;Nonlinear Dynamics;2024-09-09

2. A Grothendieck topos of generalized functions I: basic theory;Dissertationes Mathematicae;2024

3. Hyper-power series and generalized real analytic functions;Monatshefte für Mathematik;2023-03-29

4. Hyperseries in the non-Archimedean ring of Colombeau generalized numbers;Monatshefte für Mathematik;2021-11-28

5. Supremum, infimum and hyperlimits in the non-Archimedean ring of Colombeau generalized numbers;Monatshefte für Mathematik;2021-07-03

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