EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 52(66), pp. 95--104 (1992)

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Convolution in Colombeau's spaces of generalized functions; part I: The space ${\Cal G}_a$ and the $a$-integral

M. Nedeljkov and S. Pilipovi\'c

Institut za matematiku, Novi Sad, Yugoslavia

Abstract: We investigate subspaces of Colombeau's generalized function space and the generalized integrals in these spaces. The obtained results enable us to study, in the second part of the paper, the generalized convolutions and the Fourier transform in these spaces.

Classification (MSC2000): 46F05

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Electronic fulltext finalized on: 2 Nov 2001. This page was last modified: 16 Nov 2001.

© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
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