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

Donatella Bongiorno; Luisa Di Piazza; Valentin A. Skvortsov

Czechoslovak Mathematical Journal (2006)

  • Volume: 56, Issue: 2, page 559-578
  • ISSN: 0011-4642

Abstract

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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 𝒫 -adic path system that defines a differentiation basis which does not possess Ward property.

How to cite

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Bongiorno, Donatella, Di Piazza, Luisa, and Skvortsov, Valentin A.. "Variational measures related to local systems and the Ward property of $\mathcal {P}$-adic path bases." Czechoslovak Mathematical Journal 56.2 (2006): 559-578. <http://eudml.org/doc/31048>.

@article{Bongiorno2006,
abstract = {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.},
author = {Bongiorno, Donatella, Di Piazza, Luisa, Skvortsov, Valentin A.},
journal = {Czechoslovak Mathematical Journal},
keywords = {local system; $\{\mathcal \{P\}\}$-adic system; differentiation basis; variational measure; Ward property; local system; differentiation basis; variational measure; Ward property},
language = {eng},
number = {2},
pages = {559-578},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Variational measures related to local systems and the Ward property of $\mathcal \{P\}$-adic path bases},
url = {http://eudml.org/doc/31048},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Bongiorno, Donatella
AU - Di Piazza, Luisa
AU - Skvortsov, Valentin A.
TI - Variational measures related to local systems and the Ward property of $\mathcal {P}$-adic path bases
JO - Czechoslovak Mathematical Journal
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 56
IS - 2
SP - 559
EP - 578
AB - 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.
LA - eng
KW - local system; ${\mathcal {P}}$-adic system; differentiation basis; variational measure; Ward property; local system; differentiation basis; variational measure; Ward property
UR - http://eudml.org/doc/31048
ER -

References

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