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Martin boundary of a harmonic space with adjoint structure and its applications

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Publication:803332
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DOI10.32917/hmj/1206128926zbMath0727.31008OpenAlexW1491397870WikidataQ128899901 ScholiaQ128899901MaRDI QIDQ803332

Fumi-Yuki Maeda

Publication date: 1991

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.32917/hmj/1206128926


zbMATH Keywords

Green's formulaharmonic spaceenergy finite function


Mathematics Subject Classification ID

Martin boundary theory (31C35) Connections of harmonic functions with differential equations in higher dimensions (31B35)


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Semismall perturbations, semi-intrinsic ultracontractivity, and integral representations of nonnegative solutions for parabolic equations ⋮ Duality of two balayage-space structures and Dirichlet integrals on balayage spaces ⋮ On Liouville-type theorems and the uniqueness of the positive Cauchy problem for a class of hypoelliptic operators ⋮ Integral representations of nonnegative solutions for parabolic equations and elliptic Martin boundaries



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