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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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The boundary value problems and semigroups associated with certain integro-differential operators
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Trans. Amer. Math. Soc. 76 (1954), 300-331 Request permission
References
  • N. Akhiezer, On some inversion formulae for singular integrals, Bull. Acad. Sci. URSS. Sér. Math. [Izvestia Akad. Nauk SSSR] 9 (1945), 275–290 (Russian, with English summary). MR 0015567
  • W. Feller, On a generalization of Marcel Riesz’ potentials and the semi-groups generated by them, The Marcel Riesz Memorial volume, Lund.
  • William Feller, The parabolic differential equations and the associated semi-groups of transformations, Ann. of Math. (2) 55 (1952), 468–519. MR 47886, DOI 10.2307/1969644
  • G. Hamel, Integralgleichungen, Springer, 1949. G. H. Hardy, The theory of Cauchy’s principal values, (a) First paper, Proc. London Math. Soc. vol. 34 (1902) p. 16; (b) Second paper, Ibid. p. 55.
  • Einar Hille, On the generation of semi-groups and the theory of conjugate functions, Kungl. Fysiografiska Sällskapets i Lund Förhandlingar [Proc. Roy. Physiog. Soc. Lund] 21 (1952), no. 14, 13. MR 45944
  • M. Kac, On some connections between probability theory and differential and integral equations, Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability, 1950, University of California Press, Berkeley-Los Angeles, Calif., 1951, pp. 189–215. MR 0045333
  • Mark Kac and Harry Pollard, The distribution of the maximum of partial sums of independent random variables, Canad. J. Math. 2 (1950), 375–384. MR 36465, DOI 10.4153/cjm-1950-034-9
  • H. Söhngen, Die Lösungen der Integralgleichung $g(x) = {(2\pi )^{ - 1}}\smallint _{ - a}^{ + a}f(\xi )d\xi /(\xi - x)$ und deren Anwendung in der Tragflügeltheorie, Math. Zeit. vol. 45 (1939). E. C. Titchmarsh, Introduction to the theory of Fourier integrals, Oxford, 1937.
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Additional Information
  • © Copyright 1954 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 76 (1954), 300-331
  • MSC: Primary 45.0X
  • DOI: https://doi.org/10.1090/S0002-9947-1954-0060715-0
  • MathSciNet review: 0060715