Analytic D-Modules and Applications

ISBN-13: 9789048142385 / Angielski / Miękka / 2010 / 581 str.

Jan-Erik Bjork

Opis

'Et moi, ..., si favait su comment eo reveoir. je One service mathematics has rendered the n'y serais point all6.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded nonsense'. Tbe series is divergent; therefore we may be EricT. Bell ajle to do something with it O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and nonlineari- tL es abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sci- ences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One ser- vice topology has rendered mathematical physics ...'; 'One service logic has rendered computer science . .'; 'One service category theory has rendered mathematics ...'. All arguably true. And all statements obtainable this way form part of the raison d' etre of this series.

Spis treści

Series Editor's Preface. Preface. Introduction. I: The Sheaf x and its Modules. II: Operations on D-Modules. III: Holonomic D-Modules. IV: Deligne Modules. V: Regular Holonomic D-Modules. VI: b-Functions. VII: Distributions and Regular Holonomic Systems. VIII: Microdifferential Operators. Appendix: A:I Derived Categories. A:II Sheaf Theory. A:III Filtered Rings. A:IV Homological Algebra. A:V Complex Analysis. A:VI Analytic Geometry. A:VII Symplectic Analysis. References. List of Notations. Index.