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商品詳細
Geodesic Beams in Eigenfunction Analysis. 2023 ed.
・ISBN 978-3-031-31585-5 hard EUR 79.99
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| 著者・編者 | Canzani, Yaiza / Galkowski, Jeffrey, |
|---|---|
| シリーズ | (Synthesis Lectures on Mathematics & Statistics) |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2023 |
| ページ数 | 116 pp. |
| 言語 | ENG |
| ニュース番号 | <A01-89832> |
解説
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.