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ArticleOriginal scientific text

Title

Bounds for the singular values of smooth kernels

Authors 1, 1

Affiliations

  1. Department of Mathematics, National Tsing Hua University, Hsin Chu, Taiwan

Bibliography

  1. S. L. Bljumin [S. L. Blyumin] and B. D. Kotljar [B. D. Kotlyar], Hilbert-Schmidt operators and the absolute convergence of Fourier series, Math. USSR-Izv. 4 (1970), 215-223.
  2. K. Fan, Maximum properties and inequalities for the eigenvalues of completely continuous operators, Proc. Nat. Acad. Sci. U.S.A. 37 (1951), 760-766.
  3. I. Fredholm, Sur une classe d'équations fonctionnelles, Acta Math. 27 (1903), 365-390.
  4. I. C. Gohberg and M. G. Krein, Introduction to the Theory of Linear Nonselfadjoint Operators, Transl. Math. Monographs, 18, Amer. Math. Soc., Providence, R.I., 1969.
  5. C. Oehring, Singular numbers of smooth kernels II, Math. Proc. Cambridge Philos. Soc. 105 (1989), 165-167.
  6. J. Weidmann, Integraloperatoren der Spurklasse, Math. Ann. 163 (1966), 340-345.
  7. H. Weyl, Das Asymptotische Verteilungsgesetz der Eigenwerte linearer partieller Differentialgleichungen, ibid. 71 (1912), 441-479.
  8. A. Zygmund, Trigonometric Series, Vol. 1, Cambridge Univ. Press, Cambridge, 1968.
Colloquium Mathematicum
1998/78/2
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Pages:
319-324
Main language of publication
English
Received
1997-12-03
Accepted
1998-04-30
Published
1998
Exact and natural sciences