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Functional equation with an error term and the stability of some characterizations of the exponential distribution

โœ Scribed by Ryoichi Shimizu

Publisher
Springer Japan
Year
1980
Tongue
English
Weight
587 KB
Volume
32
Category
Article
ISSN
0020-3157

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Making use of the fundamental solution of the heat equation we prove the stability theorems of quadratic functional equation and d'Alembert equation in the spaces of Schwartz distributions and Sato hyperfunctions.