Abstract
AbstractThe aim of this chapter is to study pseudodifference operators on weighted lp- spaces over ℤN. Pseudodifference operators can be viewed of as the discrete analogs of the standard pseudodifferential operators on ℝN (see, for instance, the monographs [175, 164, 174, 76]). Notice also that, under some special conditions on the symbol a, the dual operator to a pseudodifference operator with respect to the discrete Fourier transform is a pseudodifferential operator on the torus TNKeywordsDiscrete Fourier TransformLimit OperatorPseudodifference OperatorWeighted SpaceEssential SpectrumThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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