A holomorphic mapping property of analytic pseudo-differential operators

David Scott Winterrose

doi:10.1007/s11868-022-00488-1

A holomorphic mapping property of analytic pseudo-differential operators

David Scott Winterrose

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Abstract

We study the holomorphic extendibility of 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 Op (p) u in terms of the information on p and u.

Original language	English
Article number	59
Journal	Journal of Pseudo-Differential Operators and Applications
Volume	13
Number of pages	8
ISSN	1662-999x
DOIs	https://doi.org/10.1007/s11868-022-00488-1
Publication status	Published - 2022

Keywords

Contour deformation
PDE
Pseudo-differential operators

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AB - We study the holomorphic extendibility of 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 Op (p) u in terms of the information on p and u.

KW - Contour deformation

KW - PDE

KW - Pseudo-differential operators

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DO - 10.1007/s11868-022-00488-1

M3 - Journal article

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JO - Journal of Pseudo-Differential Operators and Applications

JF - Journal of Pseudo-Differential Operators and Applications

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ER -

A holomorphic mapping property of analytic pseudo-differential operators

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Keywords

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