An embedding of Schwartz distributions in the algebra of asymptotic functions

DOI10.1155/S0161171298000593zbMath0916.46028OpenAlexW2113308932MaRDI QIDQ1392689

Michael Oberguggenberger, Todor D. Todorov

Publication date: 25 July 1999

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/48172

zbMATH Keywords

asymptotic expansionnonstandard analysisnonlinear theory of generalized functionsasymptotic functionnonstandard asymptotic analysisColombeau's algebras of new generalized functionsembedding the space of distributions into a differential algebra of generalized functionsmultiplication of Schwartz distributions

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Nonstandard functional analysis (46S20)

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