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Square-integrable kernels and growth estimates for their singular values


Author: James Alan Cochran
Journal: Bull. Amer. Math. Soc. 80 (1974), 661-663
MSC (1970): Primary 45H05, 45M05; Secondary 47B10, 47A10
MathSciNet review: 0346454
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  • 3. James Alan Cochran, The nuclearity of operators generated by Hölder continuous kernels, Proc. Cambridge Philos. Soc. 75 (1974), 351–356. MR 0338841
  • 4. James Alan Cochran, Summability of singular values of 𝐿² kernels. Analogies with Fourier series, Enseignement Math. (2) 22 (1976), no. 1-2, 141–157. MR 0410233
  • 5. G. H. Hardy and J. E. Littlewood, Some properties of fractional integrals. I, Math. Z. 27 (1928), no. 1, 565–606. MR 1544927, 10.1007/BF01171116
  • 6. G. H. Hardy and J. E. Littlewood, Notes on the theory of series (IX): On the absolute convergence of Fourier series, J. London Math. Soc. 3 (1928), 250-253.
  • 7. Einar Hille and J. D. Tamarkin, On the characteristic values of linear integral equations, Acta Math. 57 (1931), no. 1, 1–76. MR 1555331, 10.1007/BF02403043
  • 8. F. Smithies, The eigen-values and singular values of integral equations, Proc. London Math. Soc. (2) 43 (1937), 255-279.

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DOI: http://dx.doi.org/10.1090/S0002-9904-1974-13536-6