# LACUNARY SERIES AND INDEPENDENT FUNCTIONS

@article{Gaposhkin1966LACUNARYSA, title={LACUNARY SERIES AND INDEPENDENT FUNCTIONS}, author={V F Gaposhkin}, journal={Russian Mathematical Surveys}, year={1966}, volume={21}, pages={1 - 82} }

CONTENTS Introduction Chapter I. Lacunary subsystems of general systems of functions § 1. Definitions and notation § 2. Convergence § 3. Integrability § 4. Absolute convergence § 5. The central limit theorem § 6. The law of the iterated logarithm Chapter II. Lacunary subsystems of specific systems of functions § 1. The trigonometric system § 2. The Walsh system § 3. Orthogonal polynomials § 4. Systems of the form References

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