Geodesic Beams in Eigenfunction Analysis

Geodesic Beams in Eigenfunction Analysis

by Yaiza Canzani and Jeffrey Galkowski
Epub (Kobo), Epub (Adobe)
Publication Date: 15/07/2023

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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.

ISBN:
9783031315862
9783031315862
Category:
Mathematical physics
Format:
Epub (Kobo), Epub (Adobe)
Publication Date:
15-07-2023
Language:
English
Publisher:
Springer International Publishing

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