This book deals with the characterization of probability distributions. The author is an expert in algebraic probability theory. His comprehensive and self-contained monograph is addressed to mathematicians working in probability theory on algebraic structures, abstract harmonic analyses, and functional equations. The book concludes with comments and unsolved problems that provide further stimulation for future research in the theory.The aim of this section is to study the following problem: Let Api and Ap2 be independent random variables with values in the a-adic solenoid X = Ea and distributions p\ and /z2. Let a} ai, fij e Aut(Aa#39;) and assume that the linear forms L\ = a^j +anbsp;...

Title | : | Functional Equations and Characterization Problems on Locally Compact Abelian Groups |

Author | : | Gennadiĭ Mikhaĭlovich Felʹdman |

Publisher | : | European Mathematical Society - 2008 |

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