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100   $a20140903h19851985  uy             0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 14$aThe spectral theory of geometrically periodic hyperbolic 3-manifolds /$fCharles L. Epstein
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d1985.
210  4$d©1985
215   $a1 online resource (174 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 58, Numbr 335
300   $a"November 1985, volume 58 number 335 (first of four numbers)."
311   $a0-8218-2336-1 
320   $aIncludes bibliographical references.
327   $a""Table of Contents""; ""Notation""; ""1. Preliminaries""; ""1.1 Introduction""; ""1.2 Holomorphic Families of Operators""; ""2. Floquet Theory""; ""2.1 An Equivalent Family of Operators""; ""2.2 A Second Equivalent Family of Operators""; ""3. The Elliptic Case""; ""3.1 The Analyticity of the Operators""; ""3.2 An Estimate on the Derivatives of the Eigenvalues""; ""3.3 A Lower Bound on the Density of the Absolutely Continuous Spectrum""; ""3.4 The Structure of the Spectrum Near Zero""; ""4. The Parabolic Case""; ""4.1 Introduction""; ""4.2 The Analyticity of L[sub(I??)]""
327   $a""4.3 Boundary Behavior of L[sub(I??)]""""4.4 The Absolutely Continuous Spectrum of -I?? on H[sup(3)]/I??""; ""4.5 The Asymptotic Behavior of I?»[sub(1)](I??) Near Zero""; ""5. Applications of the Spectral Theory""; ""5.1 Introduction""; ""5.2 The L[sup(2)] Theory of the Wave Equation in H[sup(3)]/I??""; ""5.3 Lattice Point Asymptotics: The Exact Leading Order Term""; ""5.4 The Explicit Leading Term for a???(R)""; ""5.5 Asymptotics of the Lengths of Closed Geodesies""; ""Appendices""; ""1. Hyperbolic Manifolds and Hyperbolic Isometries""; ""2. A Uniform Estimate for K[sub(I??)](z)""
327   $a""3. Derivation of a Selberg Trace Formula""""References""
410  0$aMemoirs of the American Mathematical Society ;$vVolume 58, Numbr 335.
606   $aThree-manifolds (Topology)
606   $aSpectral theory (Mathematics)
608   $aElectronic books.
615  0$aThree-manifolds (Topology)
615  0$aSpectral theory (Mathematics)
676   $a514/.7
700   $aEpstein$b Charles L.$094497
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910480693403321
996   $aThe spectral theory of geometrically periodic hyperbolic 3-manifolds$92065980
997   $aUNINA