Archivio Istituzionale della RicercaWe 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.
Conormal distributions in the Shubin calculus of pseudodifferential operators / Cappiello, Marco; Schulz, René; Wahlberg, Patrik. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 1089-7658. - 59:2(2018). [10.1063/1.5022778]
Conormal distributions in the Shubin calculus of pseudodifferential operators
Cappiello, Marco;Wahlberg, Patrik
2018
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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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/11583/2961448