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A version of the Riesz-Sobolev convolution inequality is formulated and proved for arbitrary compact connected Abelian groups.
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1956
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J. M. Luttinger, Generalized isoperimetric inequalities. III
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H. J. Brascamp, E. Lieb and J. M. Luttinger, A general rearrangement inequality for multiple integrals
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A. Baernstein II and B. A. Taylor, Spherical rearrangements, subharmonic functions, and ∗ * -functions in n n -space
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R. Friedberg and J. M. Luttinger, Rearrangement inequality for periodic functions
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A. Baernstein, Convolution and rearrangement on the circle
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by same author, Correction to: “Convolution and rearrangement on the circle”
1995
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A. Burchard, Cases of equality in the Riesz rearrangement inequality
1996
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Y. Bilu, The ( α + 2 β ) (\alpha+2\beta) -inequality on a torus
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2007
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2007
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J. T. Griesmer, An inverse theorem: when the measure of the sumset is the sum of the measures in a locally compact abelian group
2014
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T. Tao, An inverse theorem for an inequality of Kneser
2018
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P. Candela and A. de Roton, On sets with small sumset in the circle
2019
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by same author, Near equality in the Riesz-Sobolev inequality
2019
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R. Frank and E. Lieb, A note on a theorem of M. Christ
2019
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by same author, personal communication
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by same author, A sharpened Riesz-Sobolev inequality
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