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}
}
  • V F Gaposhkin
  • Published 1966
  • Mathematics, Philosophy
  • Russian Mathematical Surveys
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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