Algebraic theory of Colombeauʼs generalized numbers

Author:

Aragona J.,Garcia A.R.G.,Juriaans S.O.

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference22 articles.

1. Colombeau generalized functions on quasi-regular sets;Aragona;Publ. Math. Debrecen,2006

2. Intrinsic definition of the Colombeau algebra of generalized functions;Aragona;Anal. Math.,1991

3. A discontinuous Colombeau differential calculus;Aragona;Monatsh. Math.,2005

4. The sharp topology on the full Colombeau algebra of generalized functions;Aragona;Integral Transforms Spec. Funct.,2006

5. Natural topologies on Colombeau algebras;Aragona;Topol. Methods Nonlinear Anal.,2009

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1. New insights on the signature change via the Colombeau framework;Classical and Quantum Gravity;2024-08-27

2. Off-diagonal condition;Monatshefte für Mathematik;2022-04-17

3. A nonlinear theory of generalized functions;São Paulo Journal of Mathematical Sciences;2021-01-22

4. The ring of Colombeau’s full generalized quaternions;Communications in Algebra;2017-07-27

5. Nonlinear generalized sections and vector bundle homomorphisms in Colombeau spaces of generalized functions;Mathematische Nachrichten;2017-02-09

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