Scattering Operator, Eisenstein Series, Inner Product Formula and Maass-Selberg Relations for Kleinian Groups.
- 1st ed.
- 1 online resource (97 pages)
- Memoirs of the American Mathematical Society ; v.78 .
- Memoirs of the American Mathematical Society .
Intro -- Table of Contents -- Introduction -- Part I. Scattering Operator and Eisenstein Series -- 1. Analytical and Geometrical considerations -- 2. The scattering operator and Eisenstein integral -- 3. "Desingularizations" of the scattering operator and construction of a smooth parametrix -- Part II. The Inner Product Formula -- 4. Integration over a horosphere -- 5. The constant term theorem -- 6. Formulation and proof of the inner product formula -- Part III. "Maass-Selberg" Relations and Functional Equation -- 7. Two modified L[sup(2)]-versions of the Eisenstein integral -- 8. The first "Maass-Selbert" relation -- 9. The second "Maass-Selberg" relation and the functional equation -- Epilogue -- 10. Extension to discrete groups on H[sup(n+1)] -- Bibliography.