03594cam  2200517 i 450000100090000000300050000900500170001400600190003100700150005000800410006502000270010604000340013305000210016708200170018808400570020510000380026224501040030026401420040430000550054633600260060133700280062733800270065549000750068250001980075750000650095550400510102050504170107150600500148853300950153853800360163358800470166965000260171665000200174265000240176265001560178665001450194265001590208765000940224665000910234065001860243165001790261771000390279677601510283585600430298685600470302920055866RPAM20210728142552.0aa     b    001 0 cr/|||||||||||210728s2017    riua    ob    001 0 eng    a9781470443443 (online)  aDLCbengcDLCerdadDLCdRPAM00aQA649b.Z45 201700a516.3/62223  a34L20a35P20a35J05a35L05a53D25a58J40a58J502msc1 aZelditch, Steven,d1953-eauthor.10aEigenfunctions of the Laplacian on a Riemannian manifold /h[electronic resource] cSteve Zelditch. 1aProvidence, Rhode Island :bPublished for the Conference Board of the Mathematical Sciences by the American Mathematical Society,c[2017]  a1 online resource (xiv, 394 pages : illustrations)  atextbtxt2rdacontent  aunmediatedbn2rdamedia  avolumebnc2rdacarrier0 aCBMS Regional Conference Series in Mathematics, x2380-5668 ; vv. 125  aBased on the author's notes from his presentation at the NSF-CBMS Regional Conference in the Mathematical Sciences on Global Harmonic Analysis, held at University of Kentucky, June 20-24, 2011.  aPublished with support from the National Science Foundation.  aIncludes bibliographical references and index.00tIntroductiontGeometric preliminariestMain resultstModel spaces of constant curvaturetLocal structure of eigenfunctionstHadamard parametrics on Riemannian manifoldstLagrangian distributions and Fourier integral operatorstSmall time wave group and Weyl asymptoticstMatrix elementst$L^p$ normstQuantum integrable systemstRestriction theoremstNodal sets: Real domaintEigenfunctions in the complex domain1 aAccess is restricted to licensed institutions  aElectronic reproduction.bProvidence, Rhode Island :cAmerican Mathematical Society.d2017  aMode of access : World Wide Web  aDescription based on print version record. 0aRiemannian manifolds. 0aEigenfunctions. 0aLaplacian operator. 7aOrdinary differential equations -- Ordinary differential operators -- Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions.2msc 7aPartial differential equations -- Spectral theory and eigenvalue problems -- Asymptotic distribution of eigenvalues and eigenfunctions.2msc 7aPartial differential equations -- Elliptic equations and systems -- Laplacian operator, reduced wave equation (Helmholtz equation), Poisson equation.2msc 7aPartial differential equations -- Hyperbolic equations and systems -- Wave equation.2msc 7aDifferential geometry -- Symplectic geometry, contact geometry -- Geodesic flows.2msc 7aGlobal analysis, analysis on manifolds -- Partial differential equations on manifolds; differential operators -- Pseudodifferential and Fourier integral operators on manifolds.2msc 7aGlobal analysis, analysis on manifolds -- Partial differential equations on manifolds; differential operators -- Spectral problems; spectral geometry; scattering theory.2msc2 aNational Science Foundation (U.S.)0 iPrint version: aZelditch, Steven, 1953-tEigenfunctions of the Laplacian on a Riemannian manifold /w(DLC)   2017044799x0160-7642z97814704103774 3Contentsuhttps://www.ams.org/cbms/1254 3Contentsuhttps://doi.org/10.1090/cbms/125