A problem related to the arithmetic of probability measures on the sphere

Author:

Trukhina I. P.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability,Applied Mathematics,General Mathematics,Statistics and Probability

Reference8 articles.

1. A. Erdélyi, Higher Transcendental Functions, McGraw-Hill.

2. S. Bochner, ?Positive zonal functions or spheres,? Proc. Natl. Acad. Sci. U.S.A.,40, (1954).

3. No Ya. Vilenkin, Special Functions and the Theory of Group Representations [in Russian] Nauka, Moscow (1965).

4. J. Lameperti, ?The arithmetic of certain semigroups of positive operators,? Proc. Camb. Phil. Soc.,64, 161?166 (1968).

5. Yu. V. Linnik, and I. V. Ostrovskii, The Decomposition of Random Variables and Vectors [in Russian], Nauka, Moscow (1972).

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1. Classical theorems of probability on Gelfand pairs—Khinchin’s theorems and Cramér’s theorem;Israel Journal of Mathematics;2002-12

2. Bibliography;Harmonic Analysis of Probability Measures on Hypergroups;1995-12-31

3. Factorization of probability measures on symmetric hypergroups;Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics;1991-06

4. Quasiregular stochastic convolutions;Journal of Soviet Mathematics;1989-12

5. Estimates of stability of decompositions in the Lamperti semigroup of probability measures on a sphere;Journal of Soviet Mathematics;1988-02

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