Imbedding of infinite dimensional distributions into simplified Colombeau type algebras

DOI10.1007/s00605-022-01692-3OpenAlexW4220681362MaRDI QIDQ2088017

Uluğ Çapar

Publication date: 21 October 2022

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-022-01692-3

zbMATH Keywords

Donsker's delta functionHida distributionsFeynman integrandasymptotic Colombeau extensionMeyer-Watanabe distributionssharp uniform topology

Mathematics Subject Classification ID

Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30) Distributions on infinite-dimensional spaces (46F25)

Cites Work

• Nonlinear maps in spaces of distributions
• A nonlinear theory of generalized functions.
• Products and transforms of white-noise functionals (in general setting)
• From Feynman-Kac formula to Feynman integrals via analytic continuation
• Topology on asymptotic algebras of generalized functions and applications
• Topological structures in Colombeau algebras: Topological \(\widetilde{\mathbb C}\)-modules and duality theory
• ON STOCHASTIC GENERALIZED FUNCTIONS
• New Generalized Functions and C^∞ Functions with Values in Generalized Complex Numbers
• A contribution to the theory of generalized functions
• A new construction of random Colombeau distributions
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