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

2021/04/19 by Vicente Asensio, Asensio, Vicente
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Analysis and Transform Methods #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2104.09198

openalex publication_date 2021/04/19 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

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 ω-hypoellipticity and global ω-regularity of these classes of pseudodifferential operators.

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