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Incomplete quadratic exponential sums in several variables

✍ Scribed by Eduardo Dueñez; Steven J. Miller; Amitabha Roy; Howard Straubing

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
307 KB
Volume
116
Category
Article
ISSN
0022-314X

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📜 SIMILAR VOLUMES

Generalized quadratic mappings in severa
Generalized quadratic mappings in several variables
✍ Chun-Gil Park 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 211 KB

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