Regular and Irregular Holonomic D-Modules

D-Module Theory Is Essentially The Algebraic Study Of Systems Of Linear Partial Differential Equations. This Book The First Devoted Specifically To Holonomic D-Modules Provides A Unified Treatment Of Both Regular And Irregular D-Modules. The Authors Begin By Recalling The Main Results Of The Theory Of Indsheaves And Subanalytic Sheaves Explaining In Detail The Operations On D-Modules And Their Tempered Holomorphic Solutions. As An Application They Obtain The RiemannHilbert Correspondence For Regular Holonomic D-Modules. In The Second Part Of The Book The Authors Do The Same For The Sheaf Of Enhanced Tempered Solutions Of (Not Necessarily Regular) Holonomic D-Modules. Originating From A Series Of Lectures Given At The Institut Des Hautes tudes Scientifiques In Paris This Book Is Addressed To Graduate Students And Researchers Familiar With The Language Of Sheaves And D-Modules In The Derived Sense.