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Bounded harmonic functions on nonamenable covers of compact manifolds

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Publication:1110686
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DOI10.1007/BF02766207zbMath0657.31015WikidataQ125373045 ScholiaQ125373045MaRDI QIDQ1110686

Yuri Kifer

Publication date: 1988

Published in: Israel Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

compact manifoldregular coverharmonic


Mathematics Subject Classification ID

Global differential geometry (53C99) Potential theory on Riemannian manifolds and other spaces (31C12)


Related Items (1)

The Poisson boundary of covering Markov operators



Cites Work

  • Function theory, random paths and covering spaces
  • Fundamental groups of manifolds of nonpositive curvature
  • Positive harmonic functions on complete manifolds of negative curvature
  • Negatively curved manifolds, elliptic operators, and the Martin boundary
  • On the heat kernel of a complete Riemannian manifold
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