Equations with Involutive Operators

Authors: Karapetiants, Nikolai, Samko, Stefan

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About this book

"Equations with Involutive Operators" demonstrates an important interplay between abstract and concrete operator theory. The focus is on the investigation of a number of equations, which, while seemingly different, are all unified by the same idea: they are all realizations of some operator equations in Banach spaces. One permeating theme in these equations involves the role of the Fredholm property. The text is carefully written, self-contained, and covers a broad range of topics and results. Key ideas are developed in a step-by-step approach, beginning with required background and historical material, and culminating in the final chapters with state-of-the art topics. Experts in operator theory, integral equations, and function theory as well as students in these areas will find open problems for further investigations. The book will also be useful to engineers using operator theory and integral equation techniques. Good examples, bibliography and index make this text a valuable classroom or reference resource.

Table of contents (7 chapters)

Table of contents (7 chapters)
  • On Fredholmness of Singular Type Operators

    Pages 1-49

    Karapetiants, Nikolai (et al.)

  • On Fredholmness of Other Singular-type Operators

    Pages 51-109

    Karapetiants, Nikolai (et al.)

  • Functional and Singular Integral Equations with Carleman Shifts in the Case of Continuous Coefficients

    Pages 111-152

    Karapetiants, Nikolai (et al.)

  • Two-term Equations (A + QB)ϕ = f with an Involutive Operator Q; an Abstract Approach and Applications

    Pages 153-222

    Karapetiants, Nikolai (et al.)

  • Equations with Several Generalized Involutive Operators. Matrix Abstract Approach and Applications

    Pages 223-274

    Karapetiants, Nikolai (et al.)

Buy this book

eBook $79.99
price for USA in USD (gross)
  • ISBN 978-1-4612-0183-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-0-8176-4157-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $99.99
price for USA in USD
  • ISBN 978-1-4612-6651-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Equations with Involutive Operators
Authors
Copyright
2001
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
eBook ISBN
978-1-4612-0183-0
DOI
10.1007/978-1-4612-0183-0
Hardcover ISBN
978-0-8176-4157-3
Softcover ISBN
978-1-4612-6651-8
Edition Number
1
Number of Pages
XXIII, 427
Topics