Search results for "Symbolic calculus"

showing 2 items of 2 documents

Spaces of weighted symbols and weighted sobolev spaces on manifolds

1987

This paper gives an approach to pseudodifferential operators on noncompact manifolds using a suitable class of weighted symbols and Sobolev spaces introduced by H.O. Cordes on ℙ. Here, these spaces are shown to be invariant under certain changes of coordinates. It is therefore possible to transfer them to manifolds with a compatible structure.

Sobolev spacePure mathematicsClass (set theory)Transfer (group theory)Symbolic calculusPseudodifferential operatorsFredholm operatorStructure (category theory)Mathematics::Differential GeometryInvariant (mathematics)Mathematics
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Some Notes About Distribution Frame Multipliers

2020

Inspired by a recent work about distribution frames, the definition of multiplier operator is extended in the rigged Hilbert spaces setting and a study of its main properties is carried on. In particular, conditions for the density of domain and boundedness are given. The case of Riesz distribution bases is examined in order to develop a symbolic calculus.

Symbolic calculusDistribution (number theory)frameHilbert spaceOrder (ring theory)Domain (mathematical analysis)Algebrasymbols.namesakerigged Hilbert spaceSettore MAT/05 - Analisi MatematicadistributionmultiplierssymbolsDistribution frameMathematics
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