libcats.org
Главная

Selberg trace formulae and equidistribution theorems for closed geodesics and Laplace eigenfunctions: finite area surfaces

Обложка книги Selberg trace formulae and equidistribution theorems for closed geodesics and Laplace eigenfunctions: finite area surfaces

Selberg trace formulae and equidistribution theorems for closed geodesics and Laplace eigenfunctions: finite area surfaces

This work is concerned with a pair of dual asymptotics problems on a finite-area hyperbolic surface. The first problem is to determine the distribution of closed geodesics in the unit tangent bundle. The author's results give a quantitative form to Bowen's equidistribution theory: they refine Bowen's theorem much as the prime geodesic theorem on hyperbolic quotients refines the asymptotic formula for the number of closed geodesics of length less than T. In particular, the author gives a rate of equidistribution in terms of low eigenvalues of the Laplacian. The second problem is to determine the distribution of eigenfunctions (in microlocal sense) in the unit tangent bundle. The main result here (which is needed for the equidistribution theory of closed geodesics) is a proof of a signed and averaged version of the mean Lindelof hypothesis for Rankin-Selberg zeta functions. The main tool used here is a generalization of Selberg's trace formula.
EPUB | FB2 | MOBI | TXT | RTF
* Конвертация файла может нарушить форматирование оригинала. По-возможности скачивайте файл в оригинальном формате.
Популярные книги за неделю:

Ключ к сверхсознанию

Автор:
Категория: Путь к себе
Размер книги: 309 Kb

Древо жизни

Автор:
Категория: Путь к себе
Размер книги: 1.70 Mb

Handbook of Antennas in Wireless Communications

Автор: , Автор:
Размер книги: 37.19 Mb

Шликерное литье

Автор:
Категория: science, science, technical
Размер книги: 5.98 Mb
Только что пользователи скачали эти книги:

Handbook of Set Theory

Автор: , Автор:
Размер книги: 19.88 Mb

John Searle

Автор:
Категория: Philosophy
Размер книги: 1.47 Mb

Ich, Prinzessin Elisabeth von England

Автор:
Категория: fiction
Размер книги: 249 Kb