TY - JOUR

T1 - Lipschitzian elements over p-adic fields

AU - Zaharescu, Alexandru

N1 - Copyright:
Copyright 2005 Elsevier B.V., All rights reserved.

PY - 2005/5

Y1 - 2005/5

N2 - Let p be a prime number, Qp the field of p-adic numbers, K a finite field extension of Qp, K̄ a fixed algebraic closure of K, and Cp the completion of 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.

AB - Let p be a prime number, Qp the field of p-adic numbers, K a finite field extension of Qp, K̄ a fixed algebraic closure of K, and Cp the completion of 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.

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U2 - 10.1017/S0017089505002594

DO - 10.1017/S0017089505002594

M3 - Article

AN - SCOPUS:23944433438

VL - 47

SP - 363

EP - 372

JO - Glasgow Mathematical Journal

JF - Glasgow Mathematical Journal

SN - 0017-0895

IS - 2

ER -