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General power umbral calculus in several variables

✍ Scribed by Kazuo Ueno

Book ID
107816512
Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
523 KB
Volume
59
Category
Article
ISSN
0022-4049

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πŸ“œ SIMILAR VOLUMES

Generalized quadratic mappings in severa
Generalized quadratic mappings in several variables
✍ Chun-Gil Park πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 211 KB

Let X; Y be vector spaces. It is shown that if an even mapping f : X β†’ Y satisΓΏes f(0) = 0, and for all x1; : : : ; x d ∈ X , then the even mapping f : X β†’ Y is quadratic. Furthermore, we prove the Cauchy-Rassias stability of the functional equation (0.1) in Banach spaces.