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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Manifolds with Cusps of Rank One: Spectral Theory and L2-Index Theorem

Manifolds with Cusps of Rank One: Spectral Theory and L2-Index Theorem

Müller, Werner

Paperback

Series: Lecture Notes in Mathematics, Book 1244

General ComputersGeneral Mathematics

ISBN10: 3540176969
ISBN13: 9783540176961
Publisher: Springer Nature
Published: Mar 27 1987
Pages: 158
Weight: 0.55
Height: 0.37 Width: 6.14 Depth: 9.21
Language: English
The manifolds investigated in this monograph are generalizations of (XX)-rank one locally symmetric spaces. In the first part of the book the author develops spectral theory for the differential Laplacian operator associated to the so-called generalized Dirac operators on manifolds with cusps of rank one. This includes the case of spinor Laplacians on (XX)-rank one locally symmetric spaces. The time-dependent approach to scattering theory is taken to derive the main results about the spectral resolution of these operators. The second part of the book deals with the derivation of an index formula for generalized Dirac operators on manifolds with cusps of rank one. This index formula is used to prove a conjecture of Hirzebruch concerning the relation of signature defects of cusps of Hilbert modular varieties and special values of L-series. This book is intended for readers working in the field of automorphic forms and analysis on non-compact Riemannian manifolds, and assumes a knowledge of PDE, scattering theory and harmonic analysis on semisimple Lie groups.

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