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math.AP2009
Rapidly converging approximations and regularity theory
Shantanu Dave
We consider distributions on a closed compact manifold as maps on smoothing operators. Thus spaces of certain maps between are consi…
math.AP2007
Geometrical embeddings for distributions into algebras of generalized functions
Shantanu Dave
We use spectral theory to produce embeddings of distributions in the algebras of generalized functions on a closed Riemannian manifold. These embeddings are invariant under isometr…
math.AP2006★ 1 cited
An equivariant noncommutative residue
Shantanu Dave
Let $\gp$ be a finite group acting on a compact manifold and $\maA(M)$ denote the algebra of classical complete symbols on . We determine all traces on the cross-product alg…