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.
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!