An embedding of Schwartz distributions in the algebra of asymptotic functions
We present a solution of the problem of multiplication of Schwartz distributions by embedding the space of distributions into a differential algebra of generalized functions, called in the paper asymptotic function, similar to but different from J. F Colombeau's algebras of new generalized func...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1998-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171298000593 |
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| _version_ | 1832545320246968320 |
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| author | Michael Oberguggenberger Todor Todorov |
| author_facet | Michael Oberguggenberger Todor Todorov |
| author_sort | Michael Oberguggenberger |
| collection | DOAJ |
| description | We present a solution of the problem of multiplication of Schwartz distributions by
embedding the space of distributions into a differential algebra of generalized functions, called in the
paper asymptotic function, similar to but different from J. F Colombeau's algebras of new generalized
functions. |
| format | Article |
| id | doaj-art-9fcd2f32c5454d95b6e8c90e4d14ba7d |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1998-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-9fcd2f32c5454d95b6e8c90e4d14ba7d2025-02-03T07:26:06ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251998-01-0121341742810.1155/S0161171298000593An embedding of Schwartz distributions in the algebra of asymptotic functionsMichael Oberguggenberger0Todor Todorov1Institut für Mathematik und Geometrie, Universität Innsbruck, Inssbruck A-6020, AustriaMathematics Department, California Polytechnic State University, San Luis Obispo 93407, California, USAWe present a solution of the problem of multiplication of Schwartz distributions by embedding the space of distributions into a differential algebra of generalized functions, called in the paper asymptotic function, similar to but different from J. F Colombeau's algebras of new generalized functions.http://dx.doi.org/10.1155/S0161171298000593Schwartz distributionsnonlinear theory of generalized functions asymptotic expansionnonstandard analysisnonstandard asymptotic analysis. |
| spellingShingle | Michael Oberguggenberger Todor Todorov An embedding of Schwartz distributions in the algebra of asymptotic functions International Journal of Mathematics and Mathematical Sciences Schwartz distributions nonlinear theory of generalized functions asymptotic expansion nonstandard analysis nonstandard asymptotic analysis. |
| title | An embedding of Schwartz distributions in the algebra of asymptotic functions |
| title_full | An embedding of Schwartz distributions in the algebra of asymptotic functions |
| title_fullStr | An embedding of Schwartz distributions in the algebra of asymptotic functions |
| title_full_unstemmed | An embedding of Schwartz distributions in the algebra of asymptotic functions |
| title_short | An embedding of Schwartz distributions in the algebra of asymptotic functions |
| title_sort | embedding of schwartz distributions in the algebra of asymptotic functions |
| topic | Schwartz distributions nonlinear theory of generalized functions asymptotic expansion nonstandard analysis nonstandard asymptotic analysis. |
| url | http://dx.doi.org/10.1155/S0161171298000593 |
| work_keys_str_mv | AT michaeloberguggenberger anembeddingofschwartzdistributionsinthealgebraofasymptoticfunctions AT todortodorov anembeddingofschwartzdistributionsinthealgebraofasymptoticfunctions AT michaeloberguggenberger embeddingofschwartzdistributionsinthealgebraofasymptoticfunctions AT todortodorov embeddingofschwartzdistributionsinthealgebraofasymptoticfunctions |