Recent progress in special Colombeau algebras: geometry, topology, and algebra

• Autorzy: M. Kunzinger
• Języki publikacji: EN

Abstrakty

EN

Over the past few years there has been considerable progress in the structural understanding of special Colombeau algebras. We present some of the main trends in this development: non-smooth differential geometry, locally convex theory of modules over the ring of generalized numbers, and algebraic aspects of Colombeau theory. Some open problems are given and directions of further research are outlined.

Kategorie tematyczne

• 46F30: Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.)
• 16D25: Ideals
• 46A20: Duality theory
• 53B20: Local Riemannian geometry
• 46T30: Distributions and generalized functions on nonlinear spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2010
• Tom: 88
• Numer: 1
• Strony: 175-184

Daty

wydano

2010

Twórcy

autor

M. Kunzinger

• Faculty of Mathematics, University of Vienna, Nordbergstraße 15, A-1090 Wien, Austria

Identyfikatory

DOI

10.4064/bc88-0-14