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Pointvalue characterizations in multi-parameter algebras

Author

Listed:
  • Maximilian Hasler

    (CEREGMIA, Université des Antilles et de la Guyane)

  • Jean-André Marti

    (CEREGMIA, Université des Antilles et de la Guyane)

Abstract

We extend classical results from the Colombeau algebra, concerning point-value characterizations of generalized functions, to the more general case of multi-parameter (C,E,P)–algebras. Our investigations include considerations about different definitions of subspaces related to tempered generalized functions.

Suggested Citation

  • Maximilian Hasler & Jean-André Marti, 2010. "Pointvalue characterizations in multi-parameter algebras," Documents de Travail 2010-05, CEREGMIA, Université des Antilles et de la Guyane.
    • Handle: RePEc:crg:wpaper:dt2010-05
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    File URL: http://www2.univ-ag.fr/RePEc/DT/DT2010-05_Hasler_Marti.pdf
    File Function: First version, 2010
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    References listed on IDEAS

    as
    1. Victor Dévoué & Richard Maximilian Hasler & Jean-André Marti, 2010. "Multidimensional asymptotic spectral analysis and applications," Documents de Travail 2010-03, CEREGMIA, Université des Antilles et de la Guyane.
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      Keywords

      Algebra of generalized functions; pointvalue characterization; tempered generalized functions;
      All these keywords.

      JEL classification:

      • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
      • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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