Conormal distributions in the Shubin calculus of pseudodifferential operators
classification
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math.APmath.MP
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distributionsshubinconormaloperatorspseudodifferentialbehaviorcalculuscalled
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We characterize the Schwartz kernels of pseudodifferential operators of Shubin type by means of an FBI transform. Based on this we introduce as a generalization a new class of tempered distributions called Shubin conormal distributions. We study their transformation behavior, normal forms and microlocal properties.
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