Conormal distributions in the Shubin calculus of pseudodifferential operators (1702.03111v1)

Published 10 Feb 2017 in math-ph, math.AP, and math.MP

Abstract: 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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