Generalized integral operators and Schwartz kernel type theorems

DOI10.1016/j.jmaa.2005.01.006zbMath1071.47048arXivmath/0403312OpenAlexW2114080738MaRDI QIDQ2484267

Antoine Delcroix

Publication date: 1 August 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0403312

zbMATH Keywords

distributionsintegral operatorColombeau generalized functionsSchwartz kernel theorem

Mathematics Subject Classification ID

Integral operators (47G10) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30)

Related Items (5)

Composition and exponential of compactly supported generalized integral operators ⋮ Notes on regularity results in Colombeau algebras ⋮ Regular rapidly decreasing nonlinear generalized functions. Application to microlocal regularity ⋮ Topological properties of regular generalized function algebras ⋮ Generalized Fourier Integral Operators on Spaces of Colombeau Type

Cites Work

• Pseudo-differential operators in algebras of generalized functions and global hypoellipticity
• Nonlinear algebraic analysis of delta shock wave solutions to Burgers' equation.
• Topology on asymptotic algebras of generalized functions and applications
• Colombeau generalized ultradistributions
• Fundamental structures and asymptotic microlocalization in sheaves of generalized functions
• Local properties of Colombeau generalized functions
• Generalized function algebras as sequence space algebras
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