👉 The pdas (Pseudo-Differential Analogues) math is a generalization of classical differential equations and integral equations to non-commutative settings, particularly in the context of microlocal analysis. It extends the concept of differential operators to spaces where the usual commutativity of coordinates does not hold, such as in quantum mechanics or on manifolds with irregular geometries. pdas use a combination of smooth functions and pseudodifferential operators to capture the behavior of solutions in both time and space, allowing for a more flexible and powerful framework to analyze partial differential equations (PDEs) and their symmetries. This approach enables the study of phenomena like wave propagation, singularities, and the interplay between local and global properties in a unified manner.
