[PDF.50gt] Random Fourier Series with Applications to Harmonic Analysis. (AM-101) (Annals of Mathematics Studies)

Random Fourier Series with Applications to Harmonic Analysis. (AM-101) (Annals of Mathematics Studies)

[PDF.eo77] Random Fourier Series with Applications to Harmonic Analysis. (AM-101) (Annals of Mathematics Studies)

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 | #6110118 in Books |  1981-11-21 | Original language:English | PDF # 1 |  9.06 x.67 x6.34l,.0 | File type: PDF | 152 pages

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||From the Back Cover|In a series of three papers published in 1930 and 1931, Paley and Zygmund [44] studied a variety of problems concerning series of independent random functions and raised the question of the uniform convergence a.s. of the random Fourier serie

In this book the authors give the first necessary and sufficient conditions for the uniform convergence a.s. of random Fourier series on locally compact Abelian groups and on compact non-Abelian groups. They also obtain many related results. For example, whenever a random Fourier series converges uniformly a.s. it also satisfies the central limit theorem. The methods developed are used to study some questions in harmonic analysis that are not intrinsically rand...

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