Sobolev spaces associated to a polyhedron and Fourier integral operations inR n |
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Authors: | Paolo Boggiatto |
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Affiliation: | (1) Present address: Dipartimento di Matematica, Universitá di Torino, Via Carlo Alberto 10, 10123 Torino |
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Abstract: | The theory of the Sobolev spacesHmp(Rn) (mR,ppolyhedron inR2n)of [BG]is revisited here in the frame of new classes of pseudodifferential operators related to the same polyhedronp.These operators generalize to corresponding classes of Fourier integral operators, for which we present the main lines of a symbolic calculus and results of continuity on theHmp(Rn) spaces. |
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