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References
K.M. Ball, Cube slicing in ℝn, Proc. Amer. Math. Soc. 97, 3 (1986), 465–473.
K.M. Ball, Logarithmically concave functions and sections of convex sets, Studia Math. (1988), to appear.
W. Beckner, Inequalities in Fourier analysis, Ann. of Math. 102 (1975), 159–182.
Herm Jan Brascamp and Elliot H. Lieb, Best constants in Young's inequality, its converse and its generalization to more than three functions, Advances in Math. 20 (1976) 151–173.
A. Dvoretsky and C.A. Rogers, Absolute and unconditional convergence in normed linear spaces, Proc. Nat. Acad. Sci. (U.S.A.) 36 (1950), 192–197.
D. Hensley, Slicing the cube in ℝn and probability, Proc. Amer. Math. Soc. 73 (1979), 95–100.
F. John, Extremum problems with inequalities as subsidiary conditions, Courant Anniversary Volume, Interscience, New York, 1948, 187–204.
D.R. Lewis, Ellipsoids defined by Banach ideal norms, Mathematika 26 (1979), 18–29.
V.D. Milman and A. Pajor, Isotropic position and inertia ellipsoids and zonoids of the unit ball of a normed n-dimensional space, in this volume.
A. Pajor, Personal communication.
M. Rogalski, Personal communication.
J.D. Vaaler, A geometric inequality with applications to linear forms, Pacific J. Math. 83 (1979), 543–553.
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© 1989 Springer-Verlag
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Ball, K. (1989). Volumes of sections of cubes and related problems. In: Lindenstrauss, J., Milman, V.D. (eds) Geometric Aspects of Functional Analysis. Lecture Notes in Mathematics, vol 1376. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090058
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DOI: https://doi.org/10.1007/BFb0090058
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