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Generalized derivative and π-derivative for set-valued functions

✍ Scribed by Y. Chalco-Cano; H. Román-Flores; M.D. Jiménez-Gamero


Book ID
108152991
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
303 KB
Volume
181
Category
Article
ISSN
0020-0255

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Continuous π-adic Functions and π-Deriva
✍ Alexandru Buium 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 90 KB

Let K be a local field, O the ring of integers of K, and ? a uniformizer of O. Assume , is an automorphism of K lifting the q-power map on the residue field OÂ(?). (Such a , exists, for instance, if K is a Galois extension of a finite extension k of Q p , and q is the size of the residue field of k.