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008140128s2014 nju ob 001 0 eng d
019 ▼a 868964132
020 ▼a 9781400850549 ▼q (electronic bk.)
020 ▼a 1400850541 ▼q (electronic bk.)
020 ▼a 9781306375061 ▼q (electronic bk.)
020 ▼a 1306375061 ▼q (electronic bk.)
020 ▼z 9780691160757 ▼q (hardcover : alk. paper)
020 ▼z 0691160759 ▼q (hardcover : alk. paper)
020 ▼z 9780691160788 ▼q (pbk. : alk. paper)
020 ▼z 0691160783 ▼q (pbk. : alk. paper)
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0291 ▼a CHBIS ▼b 010480684
0291 ▼a DEBSZ ▼b 44555830X
0291 ▼a DEBBG ▼b BV043038789
035 ▼a (OCoLC)869281847 ▼z (OCoLC)868964132
037 ▼a 568757 ▼b MIL
037 ▼a 22573/ctt4kdpz6 ▼b JSTOR
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08204 ▼a 515/.3533 ▼2 23
1001 ▼a Sogge, Christopher D. ▼q (Christopher Donald), ▼d 1960-, ▼e author.
24510 ▼a Hangzhou lectures on eigenfunctions of the Laplacian / ▼c Christopher D. Sogge.
264 1 ▼a Princeton : ▼b Princeton University Press, ▼c 2014.
300 ▼a 1 online resource (x, 193 pages).
336 ▼a text ▼b txt ▼2 rdacontent
337 ▼a computer ▼b c ▼2 rdamedia
338 ▼a online resource ▼b cr ▼2 rdacarrier
4901 ▼a Annals of mathematics studies ; ▼v number 188
504 ▼a Includes bibliographical references (pages 185-189) and index.
5050 ▼a 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.
520 ▼a 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 ...
5880 ▼a Print version record.
590 ▼a eBooks on EBSCOhost ▼b All EBSCO eBooks
650 0 ▼a Laplacian operator.
650 0 ▼a Eigenfunctions.
650 7 ▼a MATHEMATICS ▼x Calculus. ▼2 bisacsh
650 7 ▼a MATHEMATICS ▼x Mathematical Analysis. ▼2 bisacsh
650 7 ▼a MATHEMATICS ▼x Differential Equations ▼x Partial. ▼2 bisacsh
650 7 ▼a Eigenfunctions. ▼2 fast ▼0 (OCoLC)fst00904026
650 7 ▼a Laplacian operator. ▼2 fast ▼0 (OCoLC)fst00992600
655 4 ▼a Electronic books.
655 0 ▼a Electronic books.
77608 ▼i Print version: ▼a Sogge, Christopher D. (Christopher Donald), 1960- ▼t Hangzhou lectures on eigenfunctions of the Laplacian. ▼d Princeton, New Jersey : Princeton University Press, 2014 ▼z 9780691160757 ▼w (DLC) 2013030692 ▼w (OCoLC)857234298
830 0 ▼a Annals of mathematics studies ; ▼v no. 188.
85640 ▼u http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=663526
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938 ▼a EBSCOhost ▼b EBSC ▼n 663526
938 ▼a Ingram Digital eBook Collection ▼b IDEB ▼n cis27392234
938 ▼a YBP Library Services ▼b YANK ▼n 11607113
990 ▼a 관리자
994 ▼a 92 ▼b KRKUC