By Alexanra Bellow, Alexandra Bellow, Roger L. Jones

Nearly in every single place Convergence II comprises chosen papers shape the second one foreign convention on nearly in every single place convergence in likelihood and Ergodic concept, which happened on October 16-20, 1989 at Northwestern collage. It comprises survey papers and significant unique contributions and will entice researchers within the region of ergodic conception and harmonic research in addition to to graduate scholars coming into those fields of research

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Additional info for Almost Everywhere Convergence II. Proceedings of the International Conference on Almost Everywhere Convergence in Probability and Ergodic Theory, Evanston, Illinois, October 16–20, 1989

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USSR Sbornik 39 (1981), 227-242. 13. A. M. Garsia, Topics in Almost Everywhere Pub. , Chicago, 1970. Convergence, Markham 14. R. T. , S. 111. Univ. Press, Carbondale, 1968, 235-255. 15. R. Hunt, B. Muckenhoupt, and R. Wheeden, Weighted norm inequalities for the conjugate function and Hubert transform, Trans. Amer. Math. Soc. 176 (1973), 227-251. 16. P. Kahane, Some Random Series Press, Cambridge, 1985. of Functions, Cambridge Univ. 17. B. Marcus, (-radial Processes and Random Fourier Series, Memoirs Amer.

59 (1968), 349-353. 7. L. Carleson, On convergence and growth of partial sums of Fourier series, Acta Math. 116 (1966), 135-157. 8. M. Cotlar, A unified theory of Hubert transforms and ergodic theorems, Rev. Mat. Cuyana 1 (1955), 105-167. 9. H. Davenport and H. Halberstam, The values of a trigonometrical polynomial at well spaced points, Mathematika 13 (1966), 91-96. 10. C. Fefferman, On the convergence of multiple Fourier series, Bull. Amer. Math. Soc. 77 (1971), 744-745. 11. F. Gaposhkin, Individual ergodic theorem for normal operators in L 2 , Functional Anal.

Hopf: Ueber die Bedeutung der willkuerlichen Funktionen fuer die Wahrschein­ lichkeitstheorie. Jahresber. Dtsch. Math. Verein. 46, (1936), 179-195. 47 A Note on the Strong Law of Large Numbers for Partial Sums of Independent Random Vectors * Erich Berger Institut für Mathematische Stochastik, Universität Göttingen, Lotzestr. 13, D-3400 Göttingen, Germany A b s t r a c t . 's. This exponential estimate, in conjunction with a new majorization technique, was recently employed by the author [3] for proving a very general SLLN in the vector space setting.

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