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140128s2014 nju ob 001 0 eng d |
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▼a868964132 |
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▼a9781400850549▼q(electronic bk.) |
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▼a9781306375061▼q(electronic bk.) |
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▼a1306375061▼q(electronic bk.) |
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▼z9780691160757▼q(hardcover : alk. paper) |
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▼z0691160759▼q(hardcover : alk. paper) |
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▼z0691160783▼q(pbk. : alk. paper) |
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▼a515/.3533▼223 |
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▼aSogge, Christopher D.▼q(Christopher Donald),▼d1960-▼eauthor. |
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▼aHangzhou lectures on eigenfunctions of the Laplacian /▼cChristopher D. Sogge. |
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▼aPrinceton :▼bPrinceton University Press,▼c2014. |
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▼a1 online resource (x, 193 pages). |
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▼atext▼btxt▼2rdacontent |
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▼acomputer▼bc▼2rdamedia |
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▼aonline resource▼bcr▼2rdacarrier |
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▼aAnnals of mathematics studies ;▼vnumber 188 |
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▼aIncludes bibliographical references (pages 185-189) and index. |
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▼aA 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. |
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▼aBased 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 ... |
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▼aPrint version record. |
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▼aeBooks on EBSCOhost▼bAll EBSCO eBooks |
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▼aLaplacian operator. |
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▼aEigenfunctions. |
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▼aMATHEMATICS▼xCalculus.▼2bisacsh |
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▼aMATHEMATICS▼xMathematical Analysis.▼2bisacsh |
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▼aMATHEMATICS▼xDifferential Equations▼xPartial.▼2bisacsh |
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▼aEigenfunctions.▼2fast▼0(OCoLC)fst00904026 |
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▼aLaplacian operator.▼2fast▼0(OCoLC)fst00992600 |
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▼aElectronic books. |
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▼aElectronic books. |
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▼iPrint version:▼aSogge, Christopher D. (Christopher Donald), 1960-▼tHangzhou lectures on eigenfunctions of the Laplacian.▼dPrinceton, New Jersey : Princeton University Press, 2014▼z9780691160757▼w(DLC) 2013030692▼w(OCoLC)857234298 |
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▼aAnnals of mathematics studies ;▼vno. 188. |
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