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Extensions of kernels of Fredholm operators

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References

  1. N. I. Achiezer,A continual analogue of some theorems on Toeplitz matrices, Ukr. Mat. Z.16 (1964), 445–462 [English Trans: Am. Math. Soc. Transl. (2)50 (1966), 295–316].

    Article  Google Scholar 

  2. D. Z. Arov and M. G. Krein,The problem of finding the minimum of the entropy in the undetermined extension problems, Funct. Anal. Appl.15 (1981), 123–126.

    Article  MATH  MathSciNet  Google Scholar 

  3. R. Bellman,Functional equations in the theory of dynamic programming — VII. A partial differential equation for the Fredholm resolvent, Proc. Am. Math. Soc.8 (1957), 435–440.

    Article  MATH  Google Scholar 

  4. P. Dewilde and H. Dym,Lossless chain scattering matrices and optimum linear prediction: The vector case, Circuit Theory and Applications9 (1981), 135–175.

    Article  MATH  MathSciNet  Google Scholar 

  5. H. Dym and I. Gohberg,Extensions of matrix valued functions with rational polynomial inverses, Integral Equations and Operator Theory2 (1979), 503–528.

    Article  MATH  MathSciNet  Google Scholar 

  6. H. Dym and I. Gohberg,On an extension problem, generalized Fourier analysis and an entropy formula, Integral Equations and Operator Theory2 (1980), 143–215.

    Article  MathSciNet  Google Scholar 

  7. H. Dym and I. Gohberg,Extensions of band matrices with band inverses, Linear Algebra & Appl.36 (1981), 1–24.

    Article  MATH  MathSciNet  Google Scholar 

  8. H. Dym and S. Ta’assan,An abstract version of a limit theorem of Szegö, J. Funct. Anal.43 (1981), 294–312.

    Article  MATH  MathSciNet  Google Scholar 

  9. I. C. Gohberg and M. G. Krein,Introduction to the theory of linear nonself-adjoint operators, Trans. Math. Monographs, Vol. 18, Am. Math. Soc., Providence, R.I., 1969.

    Google Scholar 

  10. I. C. Gohberg and M. G. Krein,Theory and applications of Volterra operators in Hilbert space, Trans. Math. Monographs, Vol. 24, Am. Math. Soc., Providence, R.I., 1970.

    Google Scholar 

  11. I. C. Gohberg, L. Lerer and L. Rodman,Stable factorization of operator polynomials — II. Main results and applications to Toeplitz operators, J. Math. Anal. Appl.75 (1980), 1–40.

    Article  MATH  MathSciNet  Google Scholar 

  12. M. G. Krein,On integral equations governing differential equations of second order, Dokl. Akad. Nauk SSSR97 (1954), 21–24.

    MathSciNet  Google Scholar 

  13. S. Levin,On invertibility of finite sections of Toeplitz matrices, Appl. Anal.13 (1982), 173–184.

    Article  MATH  Google Scholar 

  14. A. J. F. Siegert,A systematic approach to a class of problems in the theory of noise — Part II, Trans. IRE Information Theory,IT-3 (1957), 38–43.

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Theoretical Mathematics, The Weizmann Institute of Science, 76100, Rehovot, Israel

    Harry Dym & Israel Gohberg

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  1. Harry Dym
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  2. Israel Gohberg
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Dym, H., Gohberg, I. Extensions of kernels of Fredholm operators. J. Anal. Math. 42, 51–97 (1982). https://doi.org/10.1007/BF02786871

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  • DOI: https://doi.org/10.1007/BF02786871

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