Visit our Christmas Gift Finder
Click & Collect from 2 Hours
Last Christmas Delivery Dates
Free UK Standard Delivery on orders £20 and over Order in time for Christmas 18th December 2nd Class | 19th December 1st Class Free Click & Collect to shops From 2 hours of your order*
Selberg Trace Formulae and Equidistribution Theorems for Closed Geodesics and Laplace Eigenfunctions: Finite Area Surfaces - Memoirs of the American Mathematical Society (Paperback)
  • Selberg Trace Formulae and Equidistribution Theorems for Closed Geodesics and Laplace Eigenfunctions: Finite Area Surfaces - Memoirs of the American Mathematical Society (Paperback)
zoom

Selberg Trace Formulae and Equidistribution Theorems for Closed Geodesics and Laplace Eigenfunctions: Finite Area Surfaces - Memoirs of the American Mathematical Society (Paperback)

£29.95
Paperback 102 Pages / Published: 30/07/1992
  • We can order this

Usually dispatched within 3 weeks

  • This item has been added to your basket
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.

Publisher: American Mathematical Society
ISBN: 9780821825266
Number of pages: 102
Weight: 227 g
Dimensions: 255 x 180 mm

You may also be interested in...

Symmetry: A Very Short Introduction
Added to basket
Fractals: A Very Short Introduction
Added to basket
Introduction to Topology
Added to basket
Euclid's Elements
Added to basket
£21.99
Paperback
Euclid's Elements
Added to basket
£31.99
Hardback
An Introduction to Manifolds
Added to basket
Elementary Differential Geometry
Added to basket
Drawing Geometry
Added to basket
£12.99
Paperback
Platonic and Archimedean Solids
Added to basket
Mathematical Origami
Added to basket
Algebraic Topology
Added to basket
£30.99
Paperback
Elliptic Tales
Added to basket
£13.99
Paperback
Maths for Science
Added to basket
£35.99
Paperback

Reviews

Please sign in to write a review

Your review has been submitted successfully.