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Scattering Operator, Eisenstein Series, Inner Product Formula and Maass-Selberg Relations for Kleinian Groups.

By: Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 1989Copyright date: ©1989Edition: 1st edDescription: 1 online resource (97 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470408206
Subject(s): Genre/Form: Additional physical formats: Print version:: Scattering Operator, Eisenstein Series, Inner Product Formula and Maass-Selberg Relations for Kleinian GroupsDDC classification:
  • 510
LOC classification:
  • QA353.A9 -- .M363 1989eb
Online resources:
Contents:
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.
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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.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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