Regularity properties of distributions and ultradistributions

DOI10.1090/S0002-9939-01-06013-0zbMath0985.46024OpenAlexW1493382110MaRDI QIDQ2750846

Stevan Pilipović, Dimitris Scarpalézos

Publication date: 21 October 2001

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06013-0

zbMATH Keywords

distributionsultradistributionsultradifferentiable functionregularized net of a distribution

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 (7)

Optimal embeddings of ultradistributions into differential algebras ⋮ Eigenfunction expansions of ultradifferentiable functions and ultradistributions. III: Hilbert spaces and universality ⋮ Besov regularity in non-linear generalized functions ⋮ Regularity properties of distributions through sequences of functions ⋮ Eigenfunction expansions of ultradifferentiable functions and ultradistributions. II. Tensor representations ⋮ Classes of Generalized Functions with Finite Type Regularities ⋮ Eigenfunction expansions of ultradifferentiable functions and ultradistributions

Cites Work

• A nonlinear theory of generalized functions.
• A contribution to the theory of generalized functions
• Microlocal analysis of ultradistributions
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