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References

  1. H. Bohr, Zur Theorie der fastperiodischen Funktionen, II,Acta Math.,46 (1925), 101–214.

    Article  MATH  MathSciNet  Google Scholar 

  2. A. Brown andP. R. Halmos, Algebraic properties of Toeplitz operators,J. reine angew. Math.,213 (1964), 89–102.

    MathSciNet  Google Scholar 

  3. L. A. Coburn, The C*-algebra generated by an isometry, I,Bull. Amer. Math. Soc.,73 (1967), 722–726; II,Trans. Amer. Math. Soc.,137 (1969), 211–217.

    Article  MATH  MathSciNet  Google Scholar 

  4. L. A. Coburn andR. G. Douglas, Translation operators on the half-line,Proc. Nat. Acad. Sci., U.S.A.,62 (1969), 1010–1013.

    Article  MATH  MathSciNet  Google Scholar 

  5. L. A. Coburn, R. G. Douglas, D. G. Schaeffer andI. M. Singer, On C*-algebras of operators on a half-space, II, Index Theory,Publ. Math. I.H.E.S. no 40 (1971), 69–80.

  6. J. Dixmier,Les C*-algèbres et leurs représentations, Paris, Gauthier-Villars, 1964.

    Google Scholar 

  7. R. G. Douglas, On the spectrum of a class of Toeplitz operators.J. Math. Mech.,18 (1968), 433–436.

    MathSciNet  Google Scholar 

  8. R. G. Douglas, On extending commutative semigroups of isometries,Bull. London Math. Soc.,1 (1969), 157–159.

    Article  MATH  MathSciNet  Google Scholar 

  9. R. G. Douglas, On the spectrum of Toeplitz and Wiener-Hopf Operators,Proceedings of Conference on Abstract Spaces and Approximations at Oberwolfach, Basel, Birkhäuser Verlag, 1969.

    Google Scholar 

  10. R. G. Douglas andW. Rudin, Approximation by inner functions,Pacific J. Math.,31 (1969), 313–320.

    MATH  MathSciNet  Google Scholar 

  11. P. R. Halmos,Introduction to Hilbert space, New York, Chelsea, 1951.

    MATH  Google Scholar 

  12. E. Hewitt andR. Ross,Abstract harmonic analysis, I, New York, Academic Press, 1963.

    MATH  Google Scholar 

  13. M. G. Krein, Integral equations on a half-line whose kernel depends on the difference of its argument,Uspehi Mat. Nauk,13 (1958), 1–120;Amer. Math. Soc. Transl. (2), 163–288.

    Google Scholar 

  14. W. Rudin, Fourier analysis on groups, Interscience, New York, 1962.

    MATH  Google Scholar 

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Research supported under N.S.F. GP-9654.

Alfred P. Sloan, Fellow and research supported by a grant from N.S.F.

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Coburn, L.A., Douglas, R.G. C*-algebras of operators on a half-space I. Publications Mathématiques de L’Institut des Hautes Scientifiques 40, 59–67 (1971). https://doi.org/10.1007/BF02684693

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  • DOI: https://doi.org/10.1007/BF02684693

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