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Those functions which nearly extremize Young's convolution inequality are characterized for discrete groups which have no nontrivial finite subgroups.
J. A. Clarkson, Uniformly convex spaces
1936
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J. H. B. Kemperman, On complexes in a semigroup
1956
Earlier work this paper cites.
E. M. Stein and G. Weiss, Introduction to Fourier analysis on Euclidean spaces
1971
Cited alongside, same era.
M. Christ, Near extremizers of Young’s inequality for ℝ d {\mathbb{R}}^{d}
Cited in the paper.
Y. O. Hamidoune, An isoperimetric method in additive theory
1996
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