Pseudodifferential Operators with Automorphic Symbols

• Introduction.- Basic modular distributions.- From the plane to the half-plane.- A short introduction to the Weyl calculus.- Composition of joint eigenfunctions of (...) and (...).- The sharp composition of modular distributions.- The operator with symbol (...).- from non-holomorphic to holomorphic modular forms.- Index.

"The book under review is devoted to developing a satisfactory Weyl calculus on the class of tempered automorphic distributions under the group SL(2, Z). ... The book is ... readable and is an interesting introduction to the subject. The main ideas are explained in detail and illustrated by exact computations." (Do Ngoc Diep, Mathematical Reviews, December, 2015)