Skip to main content
Log in

Solution space of discrete Wiener-Hopf equations and Grassmann manifold

  • Published:
Letters in Mathematical Physics Aims and scope Submit manuscript

Abstract

It is shown that the solution space of a system of discrete Wiener-Hopf equations is a set of points on an infinite-dimensional Grassmann manifold. Fractional transformations acting on the solution space are also discussed.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. SatoM., RIMS Kôkyûroku, Kyoto Univ. 439, 30–46 (1981); Sato, M. and Sato, Y., in H. Fujita, P. D. Lax, and G. Strang (eds.), Nonlinear Partial Differential Equations in Applied Science; Proceedings of the U.S.-Japan Seminar, Tokyo, 1982, North-Holland, Amsterdam, 1983.

    Google Scholar 

  2. DateE., KashiwaraM., JimboM., and MiwaT., in M.Jimbo and T.Miwa (eds.), Non-linear Integrable System-Classical Theory and Quantum Theory, World Scientifić, Singapore, 1983.

    Google Scholar 

  3. UenoK., in V.Kac (ed.), Infinite Dimensional Groups with Applications, Springer, New York, 1985.

    Google Scholar 

  4. SegalG. and WilsonG., Publ. Math. I.H.E.S. 61, 5–65 (1985).

    Google Scholar 

  5. TakasakiK., Commun. Math. Phys. 94, 35–59 (1984); Saitama Math. J. 3, 11–40 (1985).

    Google Scholar 

  6. NakamuraY., J. Math. Phys. 29, 244–248 (1988).

    Google Scholar 

  7. SpeckF.-D., General Wiener-Hopf Factorization Methods, Pitman, Boston, 1985.

    Google Scholar 

  8. HochstadtH., Integral Equations, Wiley, New York, 1973.

    Google Scholar 

  9. Takasaki, K., Geometry of universal Grassmann manifold-Line bundle, connection, and curvature, preprint, Kyoto Univ., 1988.

  10. Nakamura, Y., Riemann-Hilbert transformations for a Toepliz matrix equation: Some ideas and applications to linear prediction problem, preprint, Gifu Univ., 1987.

  11. KailathT., IEEE Trans. Information Theory IT-15, 665–672 (1969).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nakamura, Y. Solution space of discrete Wiener-Hopf equations and Grassmann manifold. Lett Math Phys 16, 273–277 (1988). https://doi.org/10.1007/BF00398965

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00398965

Keywords

Navigation