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A Wiener-Lévy theorem for nuclear integral operators

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References

  1. S. Bochner,Lectures on Fourier Analysis, Princeton University, 1936–37; notes by A. A. Brown, et al., Edwards Bros. Ann Arbor, Michigan, 1937.

  2. J. A. Cochran,The Analysis of Linear Integral Equations, McGraw-Hill, New York, 1972.

    MATH  Google Scholar 

  3. J. A. Cochran,Summability of singular values of L 2 kernels—analogies with Fourier series, Enseignement Math. (2)22 (1976), 141–157.

    MATH  MathSciNet  Google Scholar 

  4. J. A. Cochran,Towards a Wiener-Lévy theorem for nuclear operators, J. Analyse Math.30 (1976), 131–140.

    MATH  MathSciNet  Google Scholar 

  5. N. Dunford and J. T. Schwartz,Linear Operators, Parts I and II, Interscience, New York, 1963.

    Google Scholar 

  6. I. C. Gohberg and M. G. Krein,Introduction to the Theory of Linear Nonselfadjoint Operators, Translations of Math. Mono. 18, Amer. Math. Soc., Providence, Rhode Island, 1969.

    MATH  Google Scholar 

  7. P. Lévy,Sur la convergence absolue des series de Fourier, Compositio Math.1 (1934), 1–14.

    MATH  Google Scholar 

  8. C. A. McCarthy,c p , Israel J. Math.5 (1967), 249–271.

    Article  MathSciNet  Google Scholar 

  9. C. A. Steel,Theorems of Wiener-Lévy Type for Integral Operators in C p , Doctoral Dissertation, Virginia Polytechnic Institute and State University, 1976.

  10. N. Wiener,Tauberian theorems, Ann. Math. (2)33 (1932), 1–100.

    Article  MathSciNet  Google Scholar 

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  1. Department of Mathematics, Virginia Polytechnic Institute and State University, 24061, Blacksburg, Virginia, USA

    Christopher A. Steel

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  1. Christopher A. Steel
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Steel, C.A. A Wiener-Lévy theorem for nuclear integral operators. J. Anal. Math. 32, 83–92 (1977). https://doi.org/10.1007/BF02803576

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  • DOI: https://doi.org/10.1007/BF02803576

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