Variational measures related to local systems and the Ward property of $\scr P$-adic path bases

Bongiorno, D. ; Di Piazza, Luisa ; Skvortsov, V. A.

Czechoslovak Mathematical Journal, Tome 56 (2006) no. 2, pp. 559-578

Abstract (VO)

Some properties of absolutely continuous variational measures associated with local systems of sets are established. The classes of functions generating such measures are described. It is shown by constructing an example that there exists a $\mathcal{P}$-adic path system that defines a differentiation basis which does not possess Ward property.

Détail

Classification : 26A39, 26A42, 26A45, 28A12
Keywords: local system; ${\mathcal{P}}$-adic system; differentiation basis; variational measure; Ward property

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