The Resource Hangzhou lectures on eigenfunctions of the Laplacian, Christopher D. Sogge

Hangzhou lectures on eigenfunctions of the Laplacian, Christopher D. Sogge

Label
Hangzhou lectures on eigenfunctions of the Laplacian
Title
Hangzhou lectures on eigenfunctions of the Laplacian
Statement of responsibility
Christopher D. Sogge
Creator
Author
Subject
Language
eng
Summary
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 .
Member of
Cataloging source
N$T
Dewey number
515/.3533
Index
index present
LC call number
QA406
LC item number
.S66 2014eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Annals of mathematics studies
Series volume
number 188
Label
Hangzhou lectures on eigenfunctions of the Laplacian, Christopher D. Sogge
Publication
Bibliography note
Includes bibliographical references (pages 185-189) and index
http://library.link/vocab/branchCode
  • net
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
mixed
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
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
Control code
ocn869281847
Dimensions
unknown
Extent
1 online resource (x, 193 pages)
Form of item
online
Isbn
9781400850549
Media category
computer
Media MARC source
rdamedia
Media type code
c
http://library.link/vocab/ext/overdrive/overdriveId
  • 22573/ctt4kdpz6
  • 568757
http://library.link/vocab/recordID
.b32771010
Specific material designation
remote
System control number
  • (OCoLC)869281847
  • pebcs1306375061

Library Locations

    • Deakin University Library - Geelong Waurn Ponds CampusBorrow it
      75 Pigdons Road, Waurn Ponds, Victoria, 3216, AU
      -38.195656 144.304955
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