Bounds for the singular values of smooth kernels

• Autorzy: Ching-Hua Chang , Chung-Wei Ha
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1998
• Tom: 78
• Numer: 2
• Strony: 319-324

Daty

wydano

1998

otrzymano

1997-12-03

poprawiono

1998-04-30

Twórcy

autor

Ching-Hua Chang

• Department of Mathematics, National Tsing Hua University, Hsin Chu, Taiwan

autor

Chung-Wei Ha

• Department of Mathematics, National Tsing Hua University, Hsin Chu, Taiwan

Bibliografia

• [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.