Well, finally, here it is-the long-promised "Revenge of the Higher Rank Symmetric Spaces and Their Fundamental Domains." When I began work on it in 1977, I would probably have stopped immediately if someone had told me that ten years would pass before I would declare it "finished." Yes, I am declaring it finished-though certainly not perfected. There is a large amount of work going on at the moment as the piles of preprints reach the ceiling. Nevertheless, it is summer and the ocean calls. So I am not going to spend another ten years revising and polishing. But, gentle reader, do send me your corrections and even your preprints. Thanks to your work, there is an Appendix at the end of this volume with corrections to Volume I. I said it all in the Preface to Volume I. So I will try not to repeat myself here. Yes, the "recent trends" mentioned in that Preface are still just as recent
CONTENT
of Volume II -- IV The Space Pnof Positivenร{151}nMatrices -- 4.1. Geometry and Analysis on Pn -- 4.2. Special Functions on Pn -- 4.3. Harmonic Analysis on Pnin Polar Coordinates -- 4.4. Fundamental Domains for Pn/GL(n?) -- 4.5. Automorphic Forms forGL(n?) and Harmonic Analysis on Pn/GL(n?) -- V The General Noncompact Symmetric Space -- 5.1. Geometry and Analysis onG/K -- 5.2. Geometry and Analysis on ?\G/K -- Appendix Corrections to Volume I -- Bibliography for Volume II
