JournalszaaVol. 21, No. 3pp. 569–577

Results on Balanced Products of Distributions in Colombeau Algebra

  • B. Damyanov

    Bulgarian Academy of Sciences, Sofia, Bulgaria
Results on Balanced Products of Distributions in Colombeau Algebra cover
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Abstract

Various products of distributions with coinciding point singularities are derived when the products are ’balanced’ so that their sum is a generalized function which is associated to a distribution. These products follow the idea of a known result on distributional products published by Jan Mikusinski in 1966. The results in the present paper are obtained in the Colombeau algebra of generalized functions, which provides an efficient tool for dealing with nonlinear problems of Schwartz distributions.

Cite this article

B. Damyanov, Results on Balanced Products of Distributions in Colombeau Algebra. Z. Anal. Anwend. 21 (2002), no. 3, pp. 569–577

DOI 10.4171/ZAA/1095