By Alexanra Bellow, Alexandra Bellow, Roger L. Jones

Nearly in all places Convergence II includes chosen papers shape the second one overseas convention on virtually far and wide convergence in chance and Ergodic conception, which happened on October 16-20, 1989 at Northwestern college. It comprises survey papers and significant unique contributions and will attract researchers within the sector of ergodic idea and harmonic research in addition to to graduate scholars coming into those fields of analysis

**Read or Download Almost Everywhere Convergence II. Proceedings of the International Conference on Almost Everywhere Convergence in Probability and Ergodic Theory, Evanston, Illinois, October 16–20, 1989 PDF**

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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. Math. Soc. , 1987. 39 18. K. Petersen, Another proof of the existence of the ergodic Hubert transform, Proc. Amer. Math. Soc. 88 (1983), 39-43. 19. H. , 1989. Department of Mathematics CB#3250, Phillips Hall University of North Carolina Chapel Hill, NC 27599 USA 40 On Hopfs Ergodic Theorem for Particles with Different Velocities by 1 Alexandra Bellow and Ulrich Krengel2 Summary In 1936 E.

Acad. Sei. A. 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.

S Tfoj. 9) A:={£eN\{l}: v{£) - v{£ - 1) > 2}. , n—»oo respectively, can then be formulated by means of the condition described in the following Notation is as above. 1. 12) there is a sequence (tk)keN Σ m C]s{tt)