Skip to main content
SpringerLink
Log in
Book cover

Microdifferential Systems in the Complex Domain

  • Book
  • © 1985

Overview

Authors:
  1. Pierre Schapira

    1. Département de Mathématiques, Université Paris Nord, Villetaneuse, France

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Grundlehren der mathematischen Wissenschaften (GL, volume 269)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (4 chapters)

  1. Front Matter

    Pages I-X
    Download chapter PDF

  2. Introduction

    • Pierre Schapira
    Pages 1-4

  3. Microdifferential Operators

    • Pierre Schapira
    Pages 5-49

  4. ℰ X -modules

    • Pierre Schapira
    Pages 50-113

  5. Cauchy Problem and Propagation

    • Pierre Schapira
    Pages 114-172

  6. Back Matter

    Pages 173-214
    Download chapter PDF
Back to top

Keywords

About this book

The words "microdifferential systems in the complex domain" refer to seve­ ral branches of mathematics: micro local analysis, linear partial differential equations, algebra, and complex analysis. The microlocal point of view first appeared in the study of propagation of singularities of differential equations, and is spreading now to other fields of mathematics such as algebraic geometry or algebraic topology. How­ ever it seems that many analysts neglect very elementary tools of algebra, which forces them to confine themselves to the study of a single equation or particular square matrices, or to carryon heavy and non-intrinsic formula­ tions when studying more general systems. On the other hand, many alge­ braists ignore everything about partial differential equations, such as for example the "Cauchy problem", although it is a very natural and geometri­ cal setting of "inverse image". Our aim will be to present to the analyst the algebraic methods which naturally appear in such problems, and to make available to the algebraist some topics from the theory of partial differential equations stressing its geometrical aspects. Keeping this goal in mind, one can only remain at an elementary level.

Authors and Affiliations

  • Département de Mathématiques, Université Paris Nord, Villetaneuse, France

    Pierre Schapira

Bibliographic Information

  • Book Title: Microdifferential Systems in the Complex Domain

  • Authors: Pierre Schapira

  • Series Title: Grundlehren der mathematischen Wissenschaften

  • DOI: https://doi.org/10.1007/978-3-642-61665-5

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1985

  • Softcover ISBN: 978-3-642-64904-2Published: 05 October 2011

  • eBook ISBN: 978-3-642-61665-5Published: 06 December 2012

  • Series ISSN: 0072-7830

  • Series E-ISSN: 2196-9701

  • Edition Number: 1

  • Number of Pages: X, 216

  • Topics: Category Theory, Homological Algebra, Algebraic Geometry

Publish with us

Policies and ethics

Back to top

Search

Navigation