Harmonic Analysis on Symmetric Spaces—Higher Rank Spaces, Positive Definite Matrix Space and Generalizations

Audrey Terras is currently Professor Emerita of Mathematics at the University of California at San Diego.

“Advanced graduate students and beginners in harmonic analysis on symmetric spaces are surely motivated and attracted by abundant examples, relevant history, and exercises. Excellent references in each section are useful for experts.” (Takeshi Kawazoe, Mathematical Reviews, August, 2017)“It is very nice to have available, now, the second, updated version of the entire set … . Audrey Terras has done the mathematical community (and not just number theorists and modular formers) a great service: these books are a major contribution on several fronts, including the pedagogical one. They are of course also excellent references for various mathematical themes that are otherwise scattered all through the recent literature.” (Michael Berg, MAA Reviews, maa.org, July, 2016)

• Part I: The Space Pn of Positive n x n Matrices.- Part II: The General Noncompact Symmetric Space.