Non-existence of measurable solutions of certain functional equations via probabilistic approaches

Author:

Okamura KazukiORCID

Funder

Japan Society for the Promotion of Science

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,General Mathematics

Reference9 articles.

1. Arnold, B.C.: Some characterizations of the Cauchy distribution. Aust. J. Stat. 21, 166–169 (1979)

2. Crstici, B., Muntean, I., Vornicescu, N.: General solution of the arctangent functional equation. L’Analyse Numérique et de Théorie de l’Approximation 12, 113–123 (1983)

3. Dengand, L.-Y., Olusegun George, E.: Some characterizations of the uniform distribution with applications to random number generation. Ann. Inst. Stat. Math. 44, 379–385 (1992)

4. Kiesewetter, H.: Uber die arc tan-Funktionalgleichung, ihre mehrdeutigen, stetigen Losungen und eine nichtstetige Gruppe. Friedrich-Schiller-Universitat Jena. Wissenschaftliche Zeitschrift. Naturwissenschaftliche Reihe 14, 417–421 (1965)

5. Losonczi, L.: Local solutions of functional equations. Drušstvo Matematičara i Fizičara S. R. Hrvatske. Glasnik Matematički. Serija III 25(45)(1), 57–67 (1990)

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