Browsing by Author "Peyerimhoff, N."
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Article
The Cheeger constant of simply connected, solvable Lie groups
Peyerimhoff, N.; Samiou, E. (2004)We show that the Cheeger isoperimetric constant of a solvable simply connected Lie group G with Lie algebra script G sign is h(G) = max H ∈ script G sign, ∥H∥=1 tr(ad(H)).
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Article
Integral Geometric Properties of Non-compact Harmonic Spaces
Peyerimhoff, N.; Samiou, E. (2013)On non-compact harmonic manifolds we prove that functions satisfying the mean value property for two generic radii must be harmonic. Moreover, functions with vanishing integrals over all spheres (or balls) of two generic ...
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Article
Spherical spectral synthesis and two-radius theorems on Damek-Ricci spaces
Peyerimhoff, N.; Samiou, E. (2010)We prove that spherical spectral analysis and synthesis hold in Damek-Ricci spaces and derive two-radius theorems. © Institut Mittag-Leffler 2009.