Search results for "differentiation basis"

showing 3 items of 3 documents

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

2006

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.

Local system P-adic system differentiation basis variational measure Ward property.
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On the Ward theorem for P-adic-path bases associated with a bounded sequence

2004

In this paper we prove that each differentiation basis associated with a $\mathcal P$-adic path system defined by a bounded sequence satisfies the Ward Theorem.

Ward Theorem P-adic system differentiation basis
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On Variational Measures Related to Some Bases

2000

Abstract We extend, to a certain class of differentiation bases, some results on the variational measure and the δ-variation obtained earlier for the full interval basis. In particular the theorem stating that the variational measure generated by an interval function is σ-finite whenever it is absolutely continuous with respect to the Lebesgue measure is extended to any Busemann–Feller basis.

differentiation basisPure mathematicsClass (set theory)Lebesgue measureBasis (linear algebra)Henstock integralApplied MathematicsMathematical analysisvariational measureInterval (mathematics)Absolute continuityInterval functionMeasure (mathematics)δ-variationPerron integralCalculus of variationsAnalysisMathematicsJournal of Mathematical Analysis and Applications
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