Colombeau generalized ultradistributions

DOI10.1017/S0305004101005072zbMath0985.46028OpenAlexW2030494787MaRDI QIDQ2725005

Stevan Pilipović, Dimitris Scarpalézos

Publication date: 12 July 2001

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004101005072

zbMATH Keywords

Colombeau algebrasregularizationsColombeau generalized ultradistributionslocal and microlocal analysismultiplication of ultradifferentiable functions

Mathematics Subject Classification ID

Topological linear spaces of test functions, distributions and ultradistributions (46F05) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30) Ultraproducts and related constructions (03C20)

Related Items (6)

Divergent type quasilinear Dirichlet problem with singularities ⋮ Optimal embeddings of ultradistributions into differential algebras ⋮ Generalized Function Algebras Containing Spaces of Periodic Ultradistributions ⋮ Compatibility conditions and the convolution of functions and generalized functions ⋮ Generalized integral operators and Schwartz kernel type theorems ⋮ Generalized hyperfunctions and algebra of megafunctions

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