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- W2160759770 abstract "1. Introduction. 1.1. The theory of lacunary Fourier series, developed by Banach, Kolmogorov, Sidon, Zygmund, and others, deals largely with extraordinary properties that such series possess. The Fourier series for a bounded function converges absolutely if the function has a lacunary Fourier series; an integrable function is square integrable if its Fourier series is lacunary. Somewhat different theorems show that very general functions on lacunary sets can be represented by Fourier or Fourier-Stieltjes transforms. Many of these theorems are given in [7, Chapter VI and Chapter IX]." @default.
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- W2160759770 date "1959-01-01" @default.
- W2160759770 modified "2023-09-27" @default.
- W2160759770 title "Some theorems on lacunary Fourier series, with extensions to compact groups" @default.
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