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Transactions of the American Mathematical Society

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The boundary value problems and semigroups associated with certain integro-differential operators

Author: Joanne Elliott
Journal: Trans. Amer. Math. Soc. 76 (1954), 300-331
MSC: Primary 45.0X
MathSciNet review: 0060715
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  • [1] 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
  • [2] W. Feller, On a generalization of Marcel Riesz' potentials and the semi-groups generated by them, The Marcel Riesz Memorial volume, Lund.
  • [3] William Feller, The parabolic differential equations and the associated semi-groups of transformations, Ann. of Math. (2) 55 (1952), 468–519. MR 47886,
  • [4] G. Hamel, Integralgleichungen, Springer, 1949.
  • [5] 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.
  • [6] 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 0045944
  • [7] 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 and Los Angeles, 1951, pp. 189–215. MR 0045333
  • [8] 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,
  • [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).
  • [10] E. C. Titchmarsh, Introduction to the theory of Fourier integrals, Oxford, 1937.

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Article copyright: © Copyright 1954 American Mathematical Society