书目名称 | Geodesic Beams in Eigenfunction Analysis |
编辑 | Yaiza Canzani,Jeffrey Galkowski |
视频video | |
概述 | Provides a vast array of physical phenomena, ranging from the propagation of waves to the location of quantum particles.Introduces the cutting edge theory and microlocal methods of geodesic beams.Disc |
丛书名称 | Synthesis Lectures on Mathematics & Statistics |
图书封面 |  |
描述 | .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.. |
出版日期 | Book 2023 |
关键词 | Laplace Eigenfunctions; Microlocal Analysis; Geodesic Beams; Sup Norms; L^p Norms; High Energy; Quantum Me |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-031-31586-2 |
isbn_softcover | 978-3-031-31588-6 |
isbn_ebook | 978-3-031-31586-2Series ISSN 1938-1743 Series E-ISSN 1938-1751 |
issn_series | 1938-1743 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |