Algebraic and geometric theory of the topological ring of Colombeau generalized functions (2008)
- Authors:
- USP affiliated authors: VALLEJO, ALFREDO JORGE ARAGONA - IME ; JURIAANS, ORLANDO STANLEY - IME ; OLIVEIRA, OSWALDO RIO BRANCO DE - IME
- Unidade: IME
- DOI: 10.1017/S0013091505001616
- Assunto: GEOMETRIA ALGÉBRICA
- Keywords: Colombeau algebra; generalized manifold; generalized function; differential calculus; trace; support
- Agências de fomento:
- Language: Inglês
- Imprenta:
- Source:
- Título: Proceedings of the Edinburgh Mathematical Society
- ISSN: 1464-3839
- Volume/Número/Paginação/Ano: v. 51, n. 3, p. 545-564, 2008
- Este artigo possui versão em acesso aberto
- URL de acesso aberto
- PDF de acesso aberto
- Versão do Documento: Versão publicada (Published version)
-
Status: Artigo possui acesso gratuito no site do editor (Bronze Open Access) -
ABNT
ARAGONA VALLEJO, Alfredo Jorge et al. Algebraic and geometric theory of the topological ring of Colombeau generalized functions. Proceedings of the Edinburgh Mathematical Society, v. 51, n. 3, p. 545-564, 2008Tradução . . Disponível em: https://doi.org/10.1017/S0013091505001616. Acesso em: 13 mar. 2026. -
APA
Aragona Vallejo, A. J., Juriaans, O. S., Oliveira, O. R. B. de, & Scarpalézos, D. (2008). Algebraic and geometric theory of the topological ring of Colombeau generalized functions. Proceedings of the Edinburgh Mathematical Society, 51( 3), 545-564. doi:10.1017/S0013091505001616 -
NLM
Aragona Vallejo AJ, Juriaans OS, Oliveira ORB de, Scarpalézos D. Algebraic and geometric theory of the topological ring of Colombeau generalized functions [Internet]. Proceedings of the Edinburgh Mathematical Society. 2008 ; 51( 3): 545-564.[citado 2026 mar. 13 ] Available from: https://doi.org/10.1017/S0013091505001616 -
Vancouver
Aragona Vallejo AJ, Juriaans OS, Oliveira ORB de, Scarpalézos D. Algebraic and geometric theory of the topological ring of Colombeau generalized functions [Internet]. Proceedings of the Edinburgh Mathematical Society. 2008 ; 51( 3): 545-564.[citado 2026 mar. 13 ] Available from: https://doi.org/10.1017/S0013091505001616 - Multiplication of distributions in mathematical physics
- Nonlinear generalized functions and jump conditions for a standard one pressure liquid-gas model
- Generalized solutions of a nonlinear parabolic equation with generalized functions as initial data
- Some structural properties of the topological ring of Colombeau's generalized numbers
- Algebraic theory of Colombeau's generalized numbers
- Locally convex topological algebras of generalized functions: compactness and nuclearity in a nonlinear context
- Some structural properties of the topological ring of Colombeau's generalized numbers
- Multiplication of distributions and nonperturbative calculations of transition probabilities
- The sharp topology on the full Colombeau algebra of generalized functions
- Natural topologies on Colombeau algebras
Informações sobre a disponibilidade de versões do artigo em acesso aberto coletadas automaticamente via oaDOI API (Unpaywall).
How to cite
A citação é gerada automaticamente e pode não estar totalmente de acordo com as normas
