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The Spectrum of Hyperbolic Surfaces: 2016
Nicolas Bergeron
€ 95.96
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Description for The Spectrum of Hyperbolic Surfaces: 2016
Paperback. Series: Universitext. Num Pages: 383 pages, 8 colour illustrations, biography. BIC Classification: PBKD; PBML; PBWR. Category: (G) General (US: Trade). Dimension: 160 x 239 x 22. Weight in Grams: 600.
This text is an introduction to the spectral theory of the Laplacian on compact or finite area hyperbolic surfaces. For some of these surfaces, called arithmetic hyperbolic surfaces , the eigenfunctions are of arithmetic nature, and one may use analytic tools as well as powerful methods in number theory to study them. After an introduction to the hyperbolic geometry of surfaces, with a special emphasis on those of arithmetic type, and then an introduction to spectral analytic methods on the Laplace operator on these surfaces, the author develops the analogy between geometry (closed geodesics) and arithmetic (prime numbers) in ... Read more
This text is an introduction to the spectral theory of the Laplacian on compact or finite area hyperbolic surfaces. For some of these surfaces, called arithmetic hyperbolic surfaces , the eigenfunctions are of arithmetic nature, and one may use analytic tools as well as powerful methods in number theory to study them. After an introduction to the hyperbolic geometry of surfaces, with a special emphasis on those of arithmetic type, and then an introduction to spectral analytic methods on the Laplace operator on these surfaces, the author develops the analogy between geometry (closed geodesics) and arithmetic (prime numbers) in ... Read more
Product Details
Publisher
Springer International Publishing AG
Format
Paperback
Publication date
2016
Series
Universitext
Condition
New
Number of Pages
383
Place of Publication
Cham, Switzerland
ISBN
9783319276649
SKU
V9783319276649
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Nicolas Bergeron
Nicolas Bergeron is a Professor at Universite Pierre et Marie Curie in Paris. His research interests are in geometry and automorphic forms, in particular the topology and spectral geometry of locally symmetric spaces.
Reviews for The Spectrum of Hyperbolic Surfaces: 2016
The French book under review gives an introduction to hyperbolic surfaces with an emphasis on the Selberg conjecture. ... it is intended for advanced graduate students but is also well suited for all those who want to acquaint themselves with harmonic analysis on hyperbolic surfaces and automorphic forms. (Frank Monheim, zbMATH, August, 2017) This book ... Read more