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Analogue of Lebesgue-Radon-Nikodym theorem with respect to \(p\)-adic \(q\)-measure on \(\mathbb Z_p\) - MaRDI portal

Analogue of Lebesgue-Radon-Nikodym theorem with respect to \(p\)-adic \(q\)-measure on \(\mathbb Z_p\) (Q642725)

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scientific article; zbMATH DE number 5964407
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Analogue of Lebesgue-Radon-Nikodym theorem with respect to \(p\)-adic \(q\)-measure on \(\mathbb Z_p\)
scientific article; zbMATH DE number 5964407

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    Analogue of Lebesgue-Radon-Nikodym theorem with respect to \(p\)-adic \(q\)-measure on \(\mathbb Z_p\) (English)
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    27 October 2011
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    Summary: Recently, the Lebesgue-Radon-Nikodym theorem with respect to fermionic \(p\)-adic invariant measure on \(\mathbb Z_p\) was studied by the first author [Russ. J. Math. Phys. 19, No. 2, 193--196 (2012; Zbl 1284.11154)]. In this paper we give the analogue of the Lebesgue-Radon-Nikodym theorem with respect to \(p\)-adic \(q\)-measure on \(\mathbb Z_p\). In special case, \(q = 1\), we can derive the same results as Kim.
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