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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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Some theorems on stable processes
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by R. M. Blumenthal and R. K. Getoor PDF
Trans. Amer. Math. Soc. 95 (1960), 263-273 Request permission
References
  • R. M. Blumenthal and R. K. Getoor, The asymptotic distribution of the eigenvalues for a class of Markov operators, Pacific J. Math. 9 (1959), 399–408. MR 107298
  • Salomon Bochner, Harmonic analysis and the theory of probability, University of California Press, Berkeley-Los Angeles, Calif., 1955. MR 0072370
  • S. Bochner and K. Chandrasekharan, Fourier Transforms, Annals of Mathematics Studies, No. 19, Princeton University Press, Princeton, N. J.; Oxford University Press, London, 1949. MR 0031582
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    • A. Erdélyi, Higher transcendental functions, vol. II, New York, Bateman Manuscript Project, 1953. O. Frostman, Potential d’equilibre et capacité des ensembles avec quelques applications à la théorie des fonctions, Medd. Lunds Univ. Mat. Sem. vol. 3 (1935).
  • R. K. Getoor, Markov operators and their associated semi-groups, Pacific J. Math. 9 (1959), 449–472. MR 107297
  • Paul Lévy, Le mouvement brownien plan, Amer. J. Math. 62 (1940), 487–550 (French). MR 2734, DOI 10.2307/2371467
  • B. V. Gnedenko and A. N. Kolmogorov, Limit distributions for sums of independent random variables, Addison-Wesley Publishing Co., Inc., Cambridge, Mass., 1954. Translated and annotated by K. L. Chung. With an Appendix by J. L. Doob. MR 0062975
  • Henry P. McKean Jr., Hausdorff-Besicovitch dimension of Brownian motion paths, Duke Math. J. 22 (1955), 229–234. MR 69425
  • Henry P. McKean Jr., Sample functions of stable processes, Ann. of Math. (2) 61 (1955), 564–579. MR 69424, DOI 10.2307/1969814
  • Raymond E. A. C. Paley and Norbert Wiener, Fourier transforms in the complex domain, American Mathematical Society Colloquium Publications, vol. 19, American Mathematical Society, Providence, RI, 1987. Reprint of the 1934 original. MR 1451142, DOI 10.1090/coll/019
    • G. Polya, On the zeros of an integral function represented by Fourier’s integral, Messenger of Math. vol. 52 (1923) pp. 185-188.
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Additional Information
  • © Copyright 1960 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 95 (1960), 263-273
  • MSC: Primary 60.00
  • DOI: https://doi.org/10.1090/S0002-9947-1960-0119247-6
  • MathSciNet review: 0119247