Pseudodifferential Analysis, Automorphic Distributions in the Plane and Modular Forms

From the reviews:

“The book is devoted to explaining a close relationship between the pseudodifferential analysis and the well-known theory of automorphic functions and modular forms on the upper Poincaré half-plane II, or their generalization as automorphic distributions. … the book is perfectly readable and rich with analytic details for both researchers in pseudodifferential analysis and for number theorists.” (Đȭ Ngọc Diệp, Mathematical Reviews, November, 2013)

“In this book the author explains very beautiful links between pseudodifferential analysis and the theory of nonholomorphic modular forms on the classical modular group … . The book is excellently written and represents an extremely valuable contribution for the two research communities – analysts from PDEs and pseudodifferential operators and number theorists. It exhibits a lot of new and original links between the two research areas. It is self-contained and easily accessible for a broad readership.” (Sören Kraußhar, Zentralblatt MATH, Vol. 1243, 2012)