Variational measures related to local systems and the Ward property of $\scr P$-adic path bases
Czechoslovak Mathematical Journal, Tome 56 (2006) no. 2, pp. 559-578.
Voir la notice de l'article dans Czech Digital Mathematics Library
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.
Classification :
26A39, 26A42, 26A45, 28A12
Mots-clés : local system; ${\mathcal{P}}$-adic system; differentiation basis; variational measure; Ward property
Mots-clés : local system; ${\mathcal{P}}$-adic system; differentiation basis; variational measure; Ward property
@article{CMJ_2006__56_2_a20, author = {Bongiorno, D. and Di Piazza, Luisa and Skvortsov, V. A.}, title = {Variational measures related to local systems and the {Ward} property of $\scr P$-adic path bases}, journal = {Czechoslovak Mathematical Journal}, pages = {559--578}, publisher = {mathdoc}, volume = {56}, number = {2}, year = {2006}, mrnumber = {2291756}, zbl = {1164.26316}, language = {en}, url = {https://geodesic-test.mathdoc.fr/item/CMJ_2006__56_2_a20/} }
TY - JOUR AU - Bongiorno, D. AU - Di Piazza, Luisa AU - Skvortsov, V. A. TI - Variational measures related to local systems and the Ward property of $\scr P$-adic path bases JO - Czechoslovak Mathematical Journal PY - 2006 SP - 559 EP - 578 VL - 56 IS - 2 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/item/CMJ_2006__56_2_a20/ LA - en ID - CMJ_2006__56_2_a20 ER -
%0 Journal Article %A Bongiorno, D. %A Di Piazza, Luisa %A Skvortsov, V. A. %T Variational measures related to local systems and the Ward property of $\scr P$-adic path bases %J Czechoslovak Mathematical Journal %D 2006 %P 559-578 %V 56 %N 2 %I mathdoc %U https://geodesic-test.mathdoc.fr/item/CMJ_2006__56_2_a20/ %G en %F CMJ_2006__56_2_a20
Bongiorno, D.; Di Piazza, Luisa; Skvortsov, V. A. Variational measures related to local systems and the Ward property of $\scr P$-adic path bases. Czechoslovak Mathematical Journal, Tome 56 (2006) no. 2, pp. 559-578. https://geodesic-test.mathdoc.fr/item/CMJ_2006__56_2_a20/