Canzani, Yaiza;
Galkowski, Jeffrey;
(2023)
Geodesic Beams in Eigenfunction Analysis.
[Book].
Synthesis Lectures on Mathematics & Statistics (SLMS).
Springer: Cham, Switzerland.
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Abstract
This book discusses the modern theory of Laplace eigenfunctions through the lens of a new tool called geodesic beams. The authors provide a brief introduction to the theory of Laplace eigenfunctions followed by an accessible treatment of geodesic beams and their applications to sup norm estimates, L^p estimates, averages, and Weyl laws. Geodesic beams have proven to be a valuable tool in the study of Laplace eigenfunctions, but their treatment is currently spread through a variety of rather technical papers. The authors present a treatment of these tools that is accessible to a wider audience of mathematicians. Readers will gain an introduction to geodesic beams and the modern theory of Laplace eigenfunctions, which will enable them to understand the cutting edge aspects of this theory.
| Type: | Book |
|---|---|
| Title: | Geodesic Beams in Eigenfunction Analysis |
| ISBN: | 3031315863 |
| ISBN-13: | 9783031315862 |
| DOI: | 10.1007/978-3-031-31586-2 |
| Publisher version: | https://doi.org/10.1007/978-3-031-31586-2 |
| Language: | English |
| Additional information: | This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Laplace Eigenfunctions, Microlocal Analysis, Geodesic Beams Sup Norms, L^p Norms, High Energy, Quantum Mechanics Semiclassical Analysis, Weyl Laws, Kuznecov Sums |
| 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/10172996 |
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