Analytic Partial Differential Equations

This book provides a coherent, self-contained introduction to central topics of  Analytic Partial Differential Equations  in the natural geometric setting. The main themes are the analysis in phase-space of analytic PDEs and the Fourier–Bros–Iagolnitzer (FBI) transform of distributions and hyperfunctions, with application to existence and regularity questions. The book begins by establishing the fundamental properties of analytic partial differential equations, starting with the Cauchy