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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Square-integrable kernels and growth estimates for their singular values
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by James Alan Cochran PDF
Bull. Amer. Math. Soc. 80 (1974), 661-663
References
  • Shih-Hsun Chang, A generalization of a theorem of Hille and Tamarkin with applications, Proc. London Math. Soc. (3) 2 (1952), 22–29. MR 47898, DOI 10.1112/plms/s3-2.1.22
  • James Alan Cochran, The analysis of linear integral equations, McGraw-Hill Series in Modern Applied Mathematics, McGraw-Hill Book Co., New York-Düsseldorf-Johannesburg, 1972. MR 0447991
  • James Alan Cochran, The nuclearity of operators generated by Hölder continuous kernels, Proc. Cambridge Philos. Soc. 75 (1974), 351–356. MR 338841, DOI 10.1017/s0305004100048568
  • James Alan Cochran, Summability of singular values of $L^2$ kernels. Analogies with Fourier series, Enseign. Math. (2) 22 (1976), no. 1-2, 141–157. MR 410233
  • G. H. Hardy and J. E. Littlewood, Some properties of fractional integrals. I, Math. Z. 27 (1928), no. 1, 565–606. MR 1544927, DOI 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.
  • Einar Hille and J. D. Tamarkin, On the characteristic values of linear integral equations, Acta Math. 57 (1931), no. 1, 1–76. MR 1555331, DOI 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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Additional Information
  • Journal: Bull. Amer. Math. Soc. 80 (1974), 661-663
  • MSC (1970): Primary 45H05, 45M05; Secondary 47B10, 47A10
  • DOI: https://doi.org/10.1090/S0002-9904-1974-13536-6
  • MathSciNet review: 0346454