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Absolute projection constants via absolute minimal projections

  • Bruce L. Chalmers
Conference paper
  • 276 Downloads
Part of the Lecture Notes in Mathematics book series (LNM, volume 1166)

Keywords

Fundamental Solution Regular Polyhedron Linear Homogeneous Equation Minimal Projection Lebesgue Function 
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References

  1. [1]
    Chalmers, B. L., "The (*)-equation and the form of the minimal projection operator," in Approximation Theory IV (C.K. Chui, L.L. Schumaker, and J.D. Ward, eds.), pp. 393–399.Google Scholar
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    _____, "A variational equation for minimal norm extensions," submitted for publication.Google Scholar
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    _____, "A natural simple projection with norm ≤ √n," J. Approx. Theory 32(1981) pp. 226–232.MathSciNetCrossRefzbMATHGoogle Scholar
  4. [4]
    _____, "The Fourier projection is minimal for regular polyhedral spaces," J. Approx. Theory, to appear.Google Scholar
  5. [5]
    _____, "The absolute projection constant for lines in L1[a,b]," in preparation.Google Scholar
  6. [6]
    Chalmers, B. L. and F. T. Metcalf, "The minimal projection onto the quadratics," in preparation.Google Scholar
  7. [7]
    Chalmers, B. L. and B. Shekhtman, "Minimal projections and absolute projection constants for regular polyhedral spaces," Proc. Amer. Math. Soc., to appear.Google Scholar
  8. [8]
    Franchetti, C. and E. W. Cheney, "Minimal projections in L1-spaces," Duke Math. J. 43(1976), 501–510.MathSciNetCrossRefzbMATHGoogle Scholar
  9. [9]
    Grünbaum, B., "Projection constants," Trans. Amer. Math. Soc. 95 (1960), 451–465.MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • Bruce L. Chalmers
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaRiverside

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