Foundations of Algebraic Analysis (PMS-37), Volume 37

Focusing on microlocal analysis, this treatise delves into the local study of differential equations on cotangent bundles, offering a comprehensive exploration from foundational concepts. It introduces hyperfunctions and develops microfunction theory, highlighting its applications in differential equations and theoretical physics. The text also covers microdifferential equations and the microlocalization of linear differential equations, culminating in structure theorems for systems of microdifferential equations, utilizing quantized contact transformations as a key tool.