The aim of this chapter is to study pseudodifference operators on weighted l p- spaces over ℤ N . Pseudodifference operators can be viewed of as the discrete analogs of the standard pseudodifferential operators on ℝ N (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 TN
KeywordsDiscrete Fourier Transform Limit Operator Pseudodifference Operator Weighted Space Essential Spectrum
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