Pacific Journal of Mathematics

Characterization of a function by certain infinite series it generates.

Charles K. Chui and Philip W. Smith

Article information

Source
Pacific J. Math., Volume 53, Number 2 (1974), 363-371.

Dates
First available in Project Euclid: 8 December 2004

Permanent link to this document
https://projecteuclid.org/euclid.pjm/1102911605

Mathematical Reviews number (MathSciNet)
MR0357791

Zentralblatt MATH identifier
0291.30004

Subjects
Primary: 30A66
Secondary: 42A68

Citation

Chui, Charles K.; Smith, Philip W. Characterization of a function by certain infinite series it generates. Pacific J. Math. 53 (1974), no. 2, 363--371. https://projecteuclid.org/euclid.pjm/1102911605


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References

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  • [2] C. H. Ching and C. K. Chui, Uniqueness theorems determined by functionvalues at the roots of unity, J. Approximation Theory, 9 (1973),267-271.
  • [3] C. H. Ching and C. K. Chui, Analytic functionscharacterized by their means on an arc, Trans. Amer. Math. Soc, 186 (1973), 175-183.
  • [4] C. H. Ching and C. K. Chui, Recapturinga holomorphic functionon an annulus, Proc. Amer. Math. Soc, 41 (1973), 120-126.
  • [5] C. H. Ching and C. K. Chui,Approximationof functionsfromtheir means, Proc. Symposium on Approximation Theory, Austin, Jan., (1973), Ed. G. G. Lorentz, Academic Press, 1973, 307-313.
  • [6] H. Davenport, On some infinite series involving arithmetical functions, Quarterly J. of Math., 8 (1937), 8-13.
  • [7] H. Davenport, On some infinite series involving arithmetical functions, Quarterly J. of Math., 8 (1937), 313-320.
  • [8] G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, Oxford University Press, Oxford, 1954.
  • [9] P. W. Smith, Characterizationof the functionclass Wm'p, Proc. Symposium on Approximation Theory, Austin Jan., (1973), Ed. G. G. Lorentz, Academic Press, 1973, 485-490.
  • [10] E. C. Titchmarsh, Introductionto the Theory of FourierIntegrals, 2nd Ed. Oxford University Press, Oxford, 1948.