Journal
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
Volume 20, Issue 3-4, Pages 257-263Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/10652460802564522
Keywords
generalized function algebra; smoothing operators
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Funding
- Austrian Science Fund (FWF) [Y 237] Funding Source: researchfish
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We consider distributions on a closed compact manifold as maps on smoothing operators to smooth functions. For any subgroup of the diffeomorphism group, we produce a full-type algebra of generalized functions and an equivariant embedding of distributions into this algebra. As examples, we consider groups of Riemannian isometries and the symplectic group.
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