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Quantizations and global hypoellipticity for pseudodifferential operators of infinite order in classes of ultradifferentiable functions - MaRDI portal

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Quantizations and global hypoellipticity for pseudodifferential operators of infinite order in classes of ultradifferentiable functions

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Publication:6365608

DOI10.1007/S00009-022-02034-1arXiv2104.09198MaRDI QIDQ6365608

Author name not available (Why is that?)

Publication date: 19 April 2021

Abstract: We study the change of quantization for a class of global pseudodifferential operators of infinite order in the setting of ultradifferentiable functions of Beurling type. The composition of different quantizations as well as the transpose of a quantization are also analysed, with applications to the Weyl calculus. We also compare global omega-hypoellipticity and global omega-regularity of these classes of pseudodifferential operators.





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