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Operator Theoretical Methods and Applications to Mathematical Physics pp 175–188Cite as

Birkhäuser

Asymptotically Good Pseudomodes for Toeplitz Matrices and Wiener-Hopf Operators

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Part of the book series: Operator Theory: Advances and Applications ((OT,volume 147))

Abstract

We describe the structure of asymptotically good pseudomodes for Toeplitz matrices and their circulant analogues as well as for Wiener-Hopf integral operators and a continuous analogue of banded circulant matrices. The pseudomodes of circulant matrices and their continuous analogues are extended, while those of Toeplitz matrices or Wiener-Hopf operators are typically strongly localized in the endpoints.

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Author information

Authors and Affiliations

  1. Fakultät für Mathematik, TU Chemnitz, D-09107, Chemnitz, Germany

    Albrecht Böttcher

  2. Departamento de Matematicas, CINVESTAV del I.P.N., Apartado Postal 14-740, 07000, México, D.F., México

    Sergei Grudsky

Authors
  1. Albrecht Böttcher
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  2. Sergei Grudsky
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Editor information

Editors and Affiliations

  1. School of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, IL - Ramat Aviv, 69978, Israel

    Israel Gohberg

  2. Mathematisches Institut A, Universität Stuttgart, Pfaffenwaldring 57, 70569, Stuttgart, Germany

    Wolfgang Wendland

  3. Departamento de Matemática, Instituto Superior Técnico, U.T.L., Avenida Rovisco Pais, 1049-001, Lisboa, Portugal

    António Ferreira dos Santos , Frank-Olme Speck  & Francisco Sepúlveda Teixeira ,  & 

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© 2004 Springer Basel AG

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Böttcher, A., Grudsky, S. (2004). Asymptotically Good Pseudomodes for Toeplitz Matrices and Wiener-Hopf Operators. In: Gohberg, I., Wendland, W., Ferreira dos Santos, A., Speck, FO., Teixeira, F.S. (eds) Operator Theoretical Methods and Applications to Mathematical Physics. Operator Theory: Advances and Applications, vol 147. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7926-2_25

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  • DOI: https://doi.org/10.1007/978-3-0348-7926-2_25

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9623-8

  • Online ISBN: 978-3-0348-7926-2

  • eBook Packages: Springer Book Archive

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