Fourier analysis in probability theory /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Kawata, Tatsuo, 1911-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Academic Press, 1972.
Colección:Probability and mathematical statistics ; 15.
Temas:
Probabilities.
Fourier series.
Fourier transformations.
Probability
Probabilit�es.
S�eries de Fourier.
Transformations de Fourier.
probability.
MATHEMATICS > Applied.
MATHEMATICS > Probability & Statistics > General.
Fourier series
Fourier transformations
Probabilities
Harmonische Analyse
Wahrscheinlichkeitsrechnung
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Introduction
  • Fourier series and Fourier transforms
  • Fourier-Stieltjes coefficients, Fourier-Stieltjes transforms and characteristic functions
  • Convergence and summability theorems
  • General convergence theorems
  • L²-theory of Fourier series and Fourier transforms
  • Laplace and Mellin transforms
  • More theorems on Fourier and Laplace transforms
  • Convergence of distribution functions and characteristic functions
  • Some properties of characteristic functions
  • Distribution functions and their characteristic functions
  • Convergence of series of independent random variables
  • Properties of sums of independent random variables; convergence of series in the mean
  • Some special series of random variables.

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