Abstract
We study the holomorphic extendibility of \(\text {Op}(p)u\), when p is an analytic symbol, and explicit information is available on the domains of holomorphic extendibility of both p and u. By a contour deformation argument, we obtain a precise local estimate of the domain of holomorphy of \(\text {Op}(p)u\) in terms of the information on p and u.
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The author wishes to thank the anonymous reviewer whose critique and suggestions have greatly improved the paper.
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Winterrose, D.S. A holomorphic mapping property of analytic pseudo-differential operators. J. Pseudo-Differ. Oper. Appl. 13, 59 (2022). https://doi.org/10.1007/s11868-022-00488-1
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DOI: https://doi.org/10.1007/s11868-022-00488-1