Umfang:
1 Online-Ressource (x, 193 pages)
Ausgabe:
Online-Ausg.
ISBN:
0691160759
,
0691160783
,
1306375061
,
1400850541
,
9780691160757
,
9780691160788
,
9781306375061
,
9781400850549
Serie:
Annals of mathematics studies number 188
Inhalt:
Based on lectures given at Zhejiang University in Hangzhou, China, and Johns Hopkins University, this book introduces eigenfunctions on Riemannian manifolds. Christopher Sogge gives a proof of the sharp Weyl formula for the distribution of eigenvalues of Laplace-Beltrami operators, as well as an improved version of the Weyl formula, the Duistermaat-Guillemin theorem under natural assumptions on the geodesic flow. Sogge shows that there is quantum ergodicity of eigenfunctions if the geodesic flow is ergodic. Sogge begins with a treatment of the Hadamard parametrix before proving the first
Inhalt:
A review : the Laplacian and the d'Alembertian -- Geodesics and the Hadamard paramatrix -- The sharp Weyl formula -- Stationary phase and microlocal analysis -- Improved spectral asymptotics and periodic geodesics -- Classical and quantum ergodicity -- Appendix
Anmerkung:
Includes bibliographical references (pages 185-189) and index
,
In English
Weitere Ausg.:
ISBN 9780691160757
Weitere Ausg.:
ISBN 0691160759
Weitere Ausg.:
ISBN 9780691160788
Weitere Ausg.:
ISBN 0691160783
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe Sogge, Christopher D. (Christopher Donald), 1960- Hangzhou lectures on eigenfunctions of the Laplacian Princeton, New Jersey : Princeton University Press, 2014
Sprache:
Englisch
Fachgebiete:
Mathematik
URL:
Volltext
(lizenzpflichtig)
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