A stability theorem for the area sum of a convex polygon and its polar reciprocal.
Florian, August (1998)
Mathematica Pannonica
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Florian, August (1998)
Mathematica Pannonica
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Zhang, Yuqin, Ding, Ren (2008)
The Electronic Journal of Combinatorics [electronic only]
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H. G. Eggleston (1969)
Compositio Mathematica
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Mariano Rodríguez-Arias Fernández (1992)
Extracta Mathematicae
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Goodman, A.W., Saff, E.B. (1978)
International Journal of Mathematics and Mathematical Sciences
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Pech, P. (1994)
Mathematica Pannonica
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Florian, August (1996)
Mathematica Pannonica
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H. Martini, W. Mozgawa (2011)
Rendiconti del Seminario Matematico della Università di Padova
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Luca Brandolini, Marco Rigoli, Giancarlo Travaglini (1998)
Revista Matemática Iberoamericana
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Let B be a convex body in R, with piecewise smooth boundary and let ^χ denote the Fourier transform of its characteristic function. In this paper we determine the admissible decays of the spherical L averages of ^χ and we relate our analysis to a problem in the geometry of convex sets. As an application we obtain sharp results on the average number of integer lattice points in large bodies randomly positioned in the plane.