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Mathematical Analysis

  • R. V. Gamkrelidze

Part of the Progress in Mathematics book series (PM, volume 10)

Table of contents

  1. Front Matter
    Pages i-viii
  2. V. P. Palamodov
    Pages 1-35
  3. S. N. Krachkovskii, A. S. Dikanskii
    Pages 37-72

About this book

Introduction

The present book contains three articles: "Systems of Linear Differential Equations," by V. P. Palamodov; "Fredholm Operators and Their Generalizations," by S. N. Krachkovskii and A. S. Di­ kanskii; and "Representations of Groups and Algebras in Spaces with an Indefinite Metric" by M. A. Naimark and R. S. Ismagilov. In the fi.rst article the accent is on those characteristics of systems of differential equations which distinguish the systems from the scalar case. Considerable space is devoted in particular to "nonquadratic systems," a topic that has very recently stimulated interest. The second article is devoted to the algebraic aspects of the theory of operators (determinant theory in particular) in Banach and linear topological spaces. The third article reflects the present state of the art in the given area of the theory of representations, which has been re­ ceiving considerable attention in connection with its applications in physics (particularly in quantum field theory) and in the theory of differential equations.

Keywords

algebra calculus differential equation equation Mathematica mathematical analysis

Editors and affiliations

  • R. V. Gamkrelidze
    • 1
  1. 1.V.A. Steklov Mathematics InstituteAcademy of Sciences of the USSRMoscowUSSR

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-1589-7
  • Copyright Information Springer-Verlag US 1971
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4757-1591-0
  • Online ISBN 978-1-4757-1589-7
  • Series Print ISSN 0743-1643
  • Series Online ISSN 2296-505X
  • Buy this book on publisher's site
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