Lacunary series

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A series with respect to a lacunary system of functions. Examples are lacunary trigonometric series; lacunary power series; Rademacher series (cf. Rademacher system); series of independent functions with zero mathematical expectations; Dirichlet series with exponents that are independent over the field of rational numbers; etc.

How to Cite This Entry:
Lacunary series. V.F. Emel'yanov (originator), Encyclopedia of Mathematics. URL:
This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098