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Strong convexity for harmonic functions on compact symmetric spaces

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Publication:5027202
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DOI10.1090/proc/15735zbMath1492.43008arXiv2103.06904OpenAlexW3173379987MaRDI QIDQ5027202

Rachel Yovel, Dan Mangoubi, Gabor Lippner, Zachary McGuirk

Publication date: 4 February 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.06904

zbMATH Keywords

symmetric spacesconvexityharmonic functionsabsolute monotonicityfrequency functionLaplace powers


Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30) Differential geometry of symmetric spaces (53C35) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)




Cites Work

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  • Harmonic functions on the lattice: absolute monotonicity and propagation of smallness
  • Distributions spheriques sur les espaces hyperboliques
  • Differential operators on homogeneous spaces
  • Lie Groups
  • An Introduction to Lie Groups and Lie Algebras
  • Generalizations of the Gauss Law of the Spherical Mean
  • Invariant Affine Connections on Homogeneous Spaces
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