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Spectral theory of infinite-area hyp...

Borthwick, David.

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Spectral theory of infinite-area hyperbolic surfaces

Record Type:	Electronic resources : Monograph/item
Title/Author:	Spectral theory of infinite-area hyperbolic surfaces/ by David Borthwick.
Author:	Borthwick, David.
Published:	Cham :Springer International Publishing : : 2016.,
Description:	xiii, 463 p. :ill., digital ;24 cm.
[NT 15003449]:	Introduction -- Hyperbolic Surfaces -- Selberg Theory for Finite-Area Hyperbolic Surfaces -- Spectral Theory for the Hyperbolic Plane -- Model Resolvents for Cylinders -- The Resolvent -- Spectral and Scattering Theory -- Resonances and Scattering Poles -- Growth Estimates and Resonance Bounds -- Selberg Zeta Function -- Wave Trace and Poisson Formula -- Resonance Asymptotics -- Inverse Spectral Geometry -- Patterson-Sullivan Theory -- Dynamical Approach to the Zeta Function -- Numerical Computations -- Appendix -- References -- Notation Guide -- Index.
Contained By:	Springer eBooks
Subject:	Geometry, Hyperbolic. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-33877-4
ISBN:	9783319338774

Spectral theory of infinite-area hyperbolic surfaces
Borthwick, David.

Spectral theory of infinite-area hyperbolic surfaces[electronic resource] /by David Borthwick. - 2nd ed. - Cham :Springer International Publishing :2016. - xiii, 463 p. :ill., digital ;24 cm. - Progress in mathematics,v.3180743-1643 ;. - Progress in mathematics ;v.295..

Introduction -- Hyperbolic Surfaces -- Selberg Theory for Finite-Area Hyperbolic Surfaces -- Spectral Theory for the Hyperbolic Plane -- Model Resolvents for Cylinders -- The Resolvent -- Spectral and Scattering Theory -- Resonances and Scattering Poles -- Growth Estimates and Resonance Bounds -- Selberg Zeta Function -- Wave Trace and Poisson Formula -- Resonance Asymptotics -- Inverse Spectral Geometry -- Patterson-Sullivan Theory -- Dynamical Approach to the Zeta Function -- Numerical Computations -- Appendix -- References -- Notation Guide -- Index.

ISBN: 9783319338774

Standard No.: 10.1007/978-3-319-33877-4doiSubjects--Topical Terms:

532067
Geometry, Hyperbolic.

LC Class. No.: QA320 / .B67 2016

Dewey Class. No.: 515.7222

Spectral theory of infinite-area hyperbolic surfaces
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100 1 $a Borthwick, David. $3 2203625
245 1 0 $a Spectral theory of infinite-area hyperbolic surfaces $h [electronic resource] / $c by David Borthwick.
250 $a 2nd ed.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2016.
300 $a xiii, 463 p. : $b ill., digital ; $c 24 cm.
490 1 $a Progress in mathematics, $x 0743-1643 ; $v v.318
505 0 $a Introduction -- Hyperbolic Surfaces -- Selberg Theory for Finite-Area Hyperbolic Surfaces -- Spectral Theory for the Hyperbolic Plane -- Model Resolvents for Cylinders -- The Resolvent -- Spectral and Scattering Theory -- Resonances and Scattering Poles -- Growth Estimates and Resonance Bounds -- Selberg Zeta Function -- Wave Trace and Poisson Formula -- Resonance Asymptotics -- Inverse Spectral Geometry -- Patterson-Sullivan Theory -- Dynamical Approach to the Zeta Function -- Numerical Computations -- Appendix -- References -- Notation Guide -- Index.
650 0 $a Geometry, Hyperbolic. $3 532067
650 0 $a Spectral theory (Mathematics) $3 524915
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Functional Analysis. $3 893943
650 2 4 $a Partial Differential Equations. $3 890899
650 2 4 $a Functions of a Complex Variable. $3 897310
650 2 4 $a Hyperbolic Geometry. $3 2072804
650 2 4 $a Mathematical Methods in Physics. $3 890898
710 2 $a SpringerLink (Online service) $3 836513
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830 0 $a Progress in mathematics ; $v v.295. $3 1566157
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