Convolution bodies and their limiting behavior
Antonis Tsolomitis
Source: Duke Math. J. Volume 87, Number 1
(1997), 181-203.
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077241955
Mathematical Reviews number (MathSciNet): MR1440068
Zentralblatt MATH identifier: 0874.52004
Digital Object Identifier: doi:10.1215/S0012-7094-97-08708-1
References
[1] J. Bourgain and J. Lindenstrauss, Projection bodies, Geometric aspects of functional analysis (1986/87), Lecture Notes in Math., vol. 1317, Springer, Berlin, 1988, pp. 250–270.
Mathematical Reviews (MathSciNet): MR89g:46024
Zentralblatt MATH: 0645.52002
Digital Object Identifier: doi:10.1007/BFb0081746
[2] A. Gray, Tubes, Addison-Wesley Publishing Company Advanced Book Program, Redwood City, CA, 1990.
Mathematical Reviews (MathSciNet): MR92d:53002
Zentralblatt MATH: 0692.53001
[3] M. W. Hirsch, Differential topology, Springer-Verlag, New York, 1976.
Mathematical Reviews (MathSciNet): MR56:6669
Zentralblatt MATH: 0356.57001
[4] K. Kiener, Extremalität von Ellipsoiden und die Faltungsungleichung von Sobolev, Arch. Math. (Basel) 46 (1986), no. 2, 162–168.
Mathematical Reviews (MathSciNet): MR87h:52022
Zentralblatt MATH: 0563.52009
Digital Object Identifier: doi:10.1007/BF01197494
[5] M. Meyer, S. Reisner, and M. Schmuckenschläger, The volume of the intersection of a convex body with its translates, Mathematika 40 (1993), no. 2, 278–289.
Mathematical Reviews (MathSciNet): MR94m:52009
Zentralblatt MATH: 0789.52012
Digital Object Identifier: doi:10.1112/S0025579300007051
[6] V. Milman and A. Pajor, Isotropic position and inertia ellipsoids and zonoids of the unit ball of a normed $n$-dimensional space, Geometric aspects of functional analysis (1987–88), Lecture Notes in Math., vol. 1376, Springer, Berlin, 1989, pp. 64–104.
Mathematical Reviews (MathSciNet): MR90g:52003
Zentralblatt MATH: 0679.46012
Digital Object Identifier: doi:10.1007/BFb0090049
[7] V. Milman and G. Schechtman, Asymptotic theory of finite-dimensional normed spaces, Lecture Notes in Mathematics, vol. 1200, Springer-Verlag, Berlin, 1986.
Mathematical Reviews (MathSciNet): MR87m:46038
Zentralblatt MATH: 0606.46013
[8] M. Schmuckenschläger, The distribution function of the convolution square of a convex symmetric body in $\bf R\sp n$, Israel J. Math. 78 (1992), no. 2-3, 309–334.
Mathematical Reviews (MathSciNet): MR93k:52008
Zentralblatt MATH: 0774.52004
Digital Object Identifier: doi:10.1007/BF02808061
[9] R. Schneider, Convex bodies: the Brunn-Minkowski theory, Encyclopedia of Mathematics and its Applications, vol. 44, Cambridge University Press, Cambridge, 1993.
Mathematical Reviews (MathSciNet): MR94d:52007
Zentralblatt MATH: 0798.52001
[10] A. Tsolomitis, On the convolution body of two convex bodies, C. R. Acad. Sci. Paris Sér. I Math. 322 (1996), no. 1, 63–67.
Mathematical Reviews (MathSciNet): MR97d:52004
Zentralblatt MATH: 0842.52002
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