TY - JOUR UR - http://lib.ugent.be/catalog/pug01:1849929 ID - pug01:1849929 LA - eng TI - Isomorphisms of algebras of generalized functions PY - 2011 JO - (2011) MONATSHEFTE FUR MATHEMATIK SN - 0026-9255 PB - 2011 AU - Vernaeve, Hans AB - We show that for smooth manifolds X and Y , any isomorphism between the algebras of generalized functions (in the sense of Colombeau) on X , resp. Y is given by composition with a unique generalized function from Y to X . We also characterize the multiplicative linear functionals from the Colombeau algebra on X to the ring of generalized numbers. Up to multiplication with an idempotent generalized number, they are given by an evaluation map at a compactly supported generalized point on X. ER -Download RIS file
00000nam^a2200301^i^4500 | |||
001 | 1849929 | ||
005 | 20180813141129.0 | ||
008 | 110630s2011------------------------eng-- | ||
022 | a 0026-9255 | ||
024 | a 000286631000007 2 wos | ||
024 | a 1854/LU-1849929 2 handle | ||
024 | a 10.1007/s00605-009-0152-9 2 doi | ||
040 | a UGent | ||
245 | a Isomorphisms of algebras of generalized functions | ||
260 | c 2011 | ||
520 | a We show that for smooth manifolds X and Y , any isomorphism between the algebras of generalized functions (in the sense of Colombeau) on X , resp. Y is given by composition with a unique generalized function from Y to X . We also characterize the multiplicative linear functionals from the Colombeau algebra on X to the ring of generalized numbers. Up to multiplication with an idempotent generalized number, they are given by an evaluation map at a compactly supported generalized point on X. | ||
598 | a A1 | ||
100 | a Vernaeve, Hans u WE01 0 801001268232 | ||
650 | a Mathematics and Statistics | ||
653 | a Multiplicative linear functionals | ||
653 | a Algebra homomorphisms | ||
653 | a Composition operators | ||
653 | a MICROLOCAL ANALYSIS | ||
653 | a MANIFOLD | ||
653 | a TOPOLOGICAL RING | ||
653 | a DISTRIBUTIONS | ||
653 | a SMOOTH FUNCTIONS | ||
653 | a Nonlinear generalized functions | ||
773 | t MONATSHEFTE FUR MATHEMATIK g MONATSH. MATH. 2011. 162 (2) p.225-237 q 162:2<225 | ||
856 | 3 Full Text u https://biblio.ugent.be/publication/1849929/file/1849971 z [open] y Monatshefte-IsomorphismsOfAlgebrasOfGeneralizedFunctions.pdf | ||
856 | 3 Full Text u https://biblio.ugent.be/publication/1849929/file/1849944 z [ugent] y IsomorphismsOfAlgebrasOfGeneralizedFunctions.pdf | ||
920 | a article | ||
Z30 | x WE 1 WE01 | ||
922 | a UGENT-WE |
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