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July 2007 On non-commutative extensions of $\widehat{\G}_a$ by $\widehat{\Gg}^{(M)}$\\ over an ${\F}_p$-algebra
Victor Anandam, Ibtesam Bajunaid
Hiroshima Math. J. 37(2): 277-314 (July 2007). DOI: 10.32917/hmj/1187916321

Abstract

Potential theory on a Cartier tree $T$ is developed on the lines of the classical and the axiomatic theories on harmonic spaces. The harmonic classifications of such trees are considered; the notion of a subordinate structure on $T$ is introduced to consider more generally the potential theory on $T$ associated with the Schrödinger equation $\Delta u\left( x\right) =Q\left(x\right) u\left( x\right) ,Q\left( x\right) \geq 0$ on $T$; polysuperharmonic functions and polypotentials on $T$ are defined and a Riesz-Martin representation for positive polysuperharmonic functions is obtained.

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Victor Anandam. Ibtesam Bajunaid. "On non-commutative extensions of $\widehat{\G}_a$ by $\widehat{\Gg}^{(M)}$\\ over an ${\F}_p$-algebra." Hiroshima Math. J. 37 (2) 277 - 314, July 2007. https://doi.org/10.32917/hmj/1187916321

Information

Published: July 2007
First available in Project Euclid: 24 August 2007

MathSciNet: MR2345370
Digital Object Identifier: 10.32917/hmj/1187916321

Subjects:
Primary: 31C20, 31D05

Rights: Copyright © 2007 Hiroshima University, Mathematics Program

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Vol.37 • No. 2 • July 2007
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