Geodesic
LIPSCHITZIAN ELEMENTS OVER p-ADIC FIELDS
Glasgow mathematical journal, Tome 47 (2005) no. 2, pp. 363-372

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DOI

Let $p$ be a prime number, $\Q_p$ the field of $p$-adic numbers, $K$ a finite field extension of $\Q_p$, $\skew4\bar K$ a fixed algebraic closure of $K$, and $\C_p$ the completion of $\skew4\bar K$ with respect to the $p$-adic valuation. We discuss some properties of Lipschitzian elements, which are elements $T$ of $\C_p$ defined by a certain metric condition that allows one to integrate Lipschitzian functions along the Galois orbit of $T$ over $K$ with respect to the Haar distribution.
DOI : 10.1017/S0017089505002594
Mots-clés : 11S99 
ZAHARESCU, ALEXANDRU. LIPSCHITZIAN ELEMENTS OVER p-ADIC FIELDS. Glasgow mathematical journal, Tome 47 (2005) no. 2, pp. 363-372. doi: 10.1017/S0017089505002594
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     title = {LIPSCHITZIAN {ELEMENTS} {OVER} {p-ADIC} {FIELDS}},
     journal = {Glasgow mathematical journal},
     pages = {363--372},
     year = {2005},
     volume = {47},
     number = {2},
     doi = {10.1017/S0017089505002594},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089505002594/}
}
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