02628nam 2200625 450 991048097970332120170816143339.01-4704-0232-7(CKB)3360000000464827(EBL)3114539(SSID)ssj0000973921(PQKBManifestationID)11578173(PQKBTitleCode)TC0000973921(PQKBWorkID)10984657(PQKB)10890791(MiAaPQ)EBC3114539(PPN)195415272(EXLCZ)99336000000046482719980521h19981998 uy| 0engur|n|---|||||txtccrSpectral asymptotics on degenerating hyperbolic 3-manifolds /Józef Dodziuk, Jay JorgensonProvidence, Rhode Island :American Mathematical Society,[1998]©19981 online resource (90 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 643"September 1998, volume 135, number 643 (third of 5 numbers)."0-8218-0837-0 Includes bibliographical references (pages 73-75).""Contents""; ""Introduction""; ""Â1- Review of hyperbolic geometry""; ""Â2. Convergence of heat kernels""; ""Â3. Infinite cylinder estimates""; ""Â4. Heat kernels and regularized heat traces""; ""Â5. Degenerating heat traces""; ""Â6. Poisson kernel estimates""; ""Â7. Analysis of trace integrals""; ""Â8. Convergence of regularized heat traces""; ""Â9. Long time asymptotics""; ""Â10. Spectral zeta functions""; ""Â11- Selberg zeta functions""; ""Â12. Hurwitz- type zeta functions""; ""Â13. Asymptotics of spectral measures""; ""Â14. Eigenvalue counting problems""""Â15. Convergence of spectral projections""""Bibliography""Memoirs of the American Mathematical Society ;no. 643.Geometry, HyperbolicHyperbolic spacesSpectral theory (Mathematics)Asymptotic expansionsElectronic books.Geometry, Hyperbolic.Hyperbolic spaces.Spectral theory (Mathematics)Asymptotic expansions.510 s516.9Dodziuk Józef1947-902307Jorgenson JayMiAaPQMiAaPQMiAaPQBOOK9910480979703321Spectral asymptotics on degenerating hyperbolic 3-manifolds2016953UNINA