Journal of mathematical analysis and applications, 2015-01, Vol.421 (1), p.415-435
2015
Details
- Autor(en) / Beteiligte
- Titel
- The functional analytic foundation of Colombeau algebras
- Ist Teil von
- Journal of mathematical analysis and applications, 2015-01, Vol.421 (1), p.415-435
- Ort / Verlag
- Elsevier Inc
- Erscheinungsjahr
- 2015
- Link zum Volltext
- Quelle
- Alma/SFX Local Collection
- Beschreibungen/Notizen
- Colombeau algebras constitute a convenient framework for performing nonlinear operations like multiplication on Schwartz distributions. Many variants and modifications of these algebras exist for various applications. We present a functional analytic approach placing these algebras in a unifying hierarchy, which clarifies their structural properties as well as their relation to each other.
- Sprache
- Englisch
- Identifikatoren
- ISSN: 0022-247XeISSN: 1096-0813DOI: 10.1016/j.jmaa.2014.07.014Titel-ID: cdi_crossref_primary_10_1016_j_jmaa_2014_07_014
- Format
- –
- Schlagworte
- Basic space, Colombeau algebra, Nonlinear generalized function, Sheaf property, Smoothing kernel, Smoothing operator