Geometry of the generalized geodesic flow and inverse spectral problems /
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Main Authors: | |
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Corporate Authors: | |
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Published: |
John Wiley & Sons, Inc.,
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Publisher Address: | Chichester, West Sussex : |
Publication Dates: | 2017. |
Literature type: | eBook |
Language: | English |
Edition: | Second edition. |
Subjects: | |
Online Access: |
http://onlinelibrary.wiley.com/book/10.1002/9781119107682 |
Item Description: | Revised and expanded edition of: Geometry of reflecting rays and inverse spectral problems (Chichester, England ; New York : Wiley, c1992). |
Carrier Form: | 1 online resource (pages cm.) |
Bibliography: | Includes bibliographical references and index. |
ISBN: |
9781119107675 1119107679 9781119107682 1119107687 |
Index Number: | QA320 |
CLC: | O177 |
Contents: | Preliminaries from differential topology and microlocal analysis -- Reflecting rays -- Poisson relation for manifolds with boundary -- Poisson summation formula for manifolds with boundary -- Poisson relation for the scattering kernel -- Generic properties of reflecting rays -- Bumpy surfaces -- Inverse spectral results for generic bounded domains -- Singularities of the scattering kernel -- Scattering invariants for several strictly convex domains -- Poisson relation for the scattering kernel for generic directions -- Scattering kernel for trapping obstacles -- Inverse scattering by obstacles. |