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An introduction to microlocal complex deformations

Galkowski, J; Zworski, M; (2020) An introduction to microlocal complex deformations. arXiv Green open access

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Abstract

In this expository article we relate the presentation of weighted estimates in the book of Martinez to the Bergman kernel approach of Sj\"ostrand. It is meant as an introduction to the Helffer--Sj\"ostrand theory (designed for the study of quantum resonances) in the simplest setting and to its adaptations to compact manifolds.

Type: Article
Title: An introduction to microlocal complex deformations
Open access status: An open access version is available from UCL Discovery
Publisher version: https://arxiv.org/abs/1912.09845
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery-pp.ucl.ac.uk/id/eprint/10134234
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