Based on lectures given at Zhejiang University in Hangzhou, China, and Johns Hopkins University, this book introduces eigenfunctions on Riemannian manifolds. It shows that there is quantum ergodicity of eigenfunctions if the geodesic flow is ergodic. Series: Annals of Mathematics Studies. Num Pages: 208 pages, 1 line illus. BIC Classification: PBKJ; PBMP. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 252 x 178 x 14. Weight in Grams: 446. . 2014. Paperback. . . . . Books ship from the US and Ireland.

Bestandsnummer des Verk�ufers V9780691160788

Verk�ufer kontaktieren

Diesen Artikel melden

Bibliografische Details

Titel: Hangzhou Lectures on Eigenfunctions of the Laplacian (AM-188)
Verlag: Princeton University Press
Erscheinungsjahr: 2014
Sprache: Englisch
ISBN-10: 0691160783
ISBN-13: 9780691160788
Einband: Softcover
Zustand: New

�ber diesen Titel

Inhaltsangabe

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 main result, the sharp Weyl formula. He avoids the use of Tauberian estimates and instead relies on sup-norm estimates for eigenfunctions. The author also gives a rapid introduction to the stationary phase and the basics of the theory of pseudodifferential operators and microlocal analysis. These are used to prove the Duistermaat-Guillemin theorem. Turning to the related topic of quantum ergodicity, Sogge demonstrates that if the long-term geodesic flow is uniformly distributed, most eigenfunctions exhibit a similar behavior, in the sense that their mass becomes equidistributed as their frequencies go to infinity.

�ber die Autorin bzw. den Autor

Christopher D. Sogge is the J. J. Sylvester Professor of Mathematics at Johns Hopkins University. He is the author of Fourier Integrals in Classical Analysis and Lectures on Nonlinear Wave Equations.

��ber diesen Titel� kann sich auf eine andere Ausgabe dieses Titels beziehen.

Anbieterinformationen

We carry a comprehensive range of out of print and rare books.

Zur Homepage des Verk�ufers

Unternehmensdaten des Verk�ufers

Kennys Bookshops and Art Galleries Limited
Liosban Industrial Estate, Tuam Road, Galway, GY, Ireland

Gesch�ftsbedingungen und Versandinformationen

Verkaufsbedingungen

We guarantee the condition of every book as it's described on the Abebooks websites.

If you're dissatisfied with your purchase (Incorrect Book/Not as Described/Damaged) or if the order hasn't arrived, you're eligible for a refund within 30 days of the estimated delivery date.

For any queries please use the contact seller link or send an email to books@kennys.ie

Conor Kenny