Skip to main content

Normal forms for analytic matrix valued functions

Part of the Lecture Notes in Mathematics book series (LNM,volume 209)

Keywords

  • Normal Form
  • Vector Bundle
  • Line Bundle
  • Invariant Subspace
  • Diagonal Block

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  1. Wasow, W. On holomorphically similar matrices, J. Math. Anal. Appl. 4, 202–206.

    Google Scholar 

  2. Sibuya, Yosutaka. Some global properties of matrices of functions of one variable, Math. Ann. 67–77. (1965).

    Google Scholar 

  3. Hsieh, P. F. and Sibuya, Y. A global analysis of matrices of functions of several variables, J. Math. Anal and Appl. 14, 332–340 (1966).

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. Khabbaz, S. and Stengle, G. An application of K-theory to the global analysis of matrix valued functions, Math. Ann. 179, 115–122 (1969).

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. Khabbaz, S. and Stengle, G. Global triangulization of analytic matrix valued functions with applications to the asymptotic theory of differential equations. To appear.

    Google Scholar 

  6. Gunning, R. C. Lectures on vector bundles over Riemann surfaces, Mathematical Notes, Princeton University Press (1967).

    Google Scholar 

  7. Hirzebruch, F. Topological methods in algebraic geometry, Springer-Verlag, New York, (1966).

    CrossRef  MATH  Google Scholar 

  8. Adams, J.F. Vector fields on spheres, Ann. Math. 75, 603–632 (1962).

    CrossRef  MATH  Google Scholar 

  9. Wascow, W. Asymptotic Expansions for Ordinary Differential Equations, Interscience, New York, (1965).

    Google Scholar 

  10. Gunning, R. and Rossi, H. Analytic functions of several complex variables. Prentice-Hall Inc., (1965).

    Google Scholar 

  11. Khabbaz, S. The equivalence of the rings of continuous and analytic complex vector bundles on a real-analytic manifold, Bol. Soc. Math. Mexicana. 49–54 (1968).

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1971 Springer-Verlag Berlin · Heidelberg

About this paper

Cite this paper

Khabbaz, S., Stengle, G. (1971). Normal forms for analytic matrix valued functions. In: Wall, C.T.C. (eds) Proceedings of Liverpool Singularities Symposium II. Lecture Notes in Mathematics, vol 209. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0068891

Download citation

  • DOI: https://doi.org/10.1007/BFb0068891

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05511-2

  • Online ISBN: 978-3-540-36868-7

  • eBook Packages: Springer Book Archive