Lebesgue-Radon-Nikodým theorem with respect to fermionic \(p\)-adic invariant measure on \(\mathbb Z_p\)

DOI10.1134/S1061920812020057zbMath1284.11154OpenAlexW2067340331MaRDI QIDQ2437096

Taekyun Kim

Publication date: 28 February 2014

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920812020057

zbMATH Keywords

\(p\)-adic measurefermionic \(p\)-adic invariant measureLebesgue-Radon-Nikodým theorem

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Miscellaneous topics in measure theory (28E99)

Related Items (2)

A note on the analogue of Lebesgue-Radon-Nikodym theorem with respect to weighted \(p\)-adic \(q\)-measure on \(\mathbb Z_p\) ⋮ On periodic \(p\)-adic distributions

Cites Work

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• Lebesgue-Radon-Nikodym theorem with respect to \(q\)-Volkenborn distribution on \(\mu_{q}\)
• Radon--Nikodým derivatives for vector measures belonging to Köthe function spaces
• On the Radon–Nikodym Theorem
• q-Euler numbers and polynomials associated with p-adic q-integrals
• A Radon–Nikodym derivative for positive linear functionals
• Yet Another Proof of the Radon-Nikodym Theorem

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