Finding new families of rank-one convex polynomials
Luís Bandeira, Pablo Pedregal (2009)
Annales de l'I.H.P. Analyse non linéaire
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Luís Bandeira, Pablo Pedregal (2009)
Annales de l'I.H.P. Analyse non linéaire
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Ondřej Došlý (1997)
Applications of Mathematics
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We study polyconvex envelopes of a class of functions related to the function of Kohn and Strang introduced in . We present an example of a function of this class for which the polyconvex envelope may be computed explicitly and we also point out some general features of the problem.
W. Cieślak, A. Miernowski, W. Mozgawa (1996)
Rendiconti del Seminario Matematico della Università di Padova
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Chonweerayoot, A., Thomas, D.K., Upakarnitikaset, W. (1992)
Publications de l'Institut Mathématique. Nouvelle Série
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Florian, August (1995)
Mathematica Pannonica
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H. G. Eggleston (1969)
Compositio Mathematica
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Braha, N.L. (2010)
APPS. Applied Sciences
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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.