The Fourier transform and Firey projections of convex bodies

By D. Ryabogin, Artem Zvavitch. 2004

69 citations recorded by the source corpus.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Molecular Biology

View Paper: https://www.semanticscholar.org/paper/4f9574a7d02ab0a3bef5fdc9e23a83a4b41e4273

How researchers see this paper

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In Applied Mathematics

1. Yiming Zhao
2. Franz E. Schuster
3. Gaoyong Zhang
4. Deane Yang
5. Erwin Lutwak
6. Monika Ludwig
7. Deping Ye
8. Christoph Haberl

In Astronomy and Astrophysics

1. Franz E. Schuster
2. Gaoyong Zhang
3. Deane Yang
4. Erwin Lutwak
5. Deping Ye
6. K. Boroczky
7. Daniel Hug
8. Christoph Haberl

In Molecular Biology

1. Franz E. Schuster
2. Deane Yang
3. Gaoyong Zhang
4. Erwin Lutwak
5. Monika Ludwig
6. Christoph Haberl
7. Yiming Zhao
8. Elisabeth M. Werner

Citations in the corpus

• Valuations and Surface Area Measures (2014, unknown): “[7, 10,17,18,22,25,28,29,36,42–45]).”
• Sharp convex Lorentz–Sobolev inequalities (2011, unknown): “Within the Lp Brunn-Minkowski theory (see [10,13–15,30–32,35,36,39–42,44–49,61,67,69– 71, 74]), the natural extension of integral affine surface area is the Lp integral affine surface area Φp (see Section 5.”
• Orlicz projection bodies (2010, unknown): “[2–8,14–19,22–28,30–43,49,51, 52,54,55].”
• General $L_p$ affine isoperimetric inequalities (2008, unknown): “, [7, 10, 11, 21, 24, 29–34, 40, 46–48].”
• Valuations and Busemann{Petty Type Problems (2008, background): “Here, the Lp extensions of the projection, intersection and centroid body operators were studied, see [20,22,54,66].”
• The log-Brunn-Minkowski inequality (2012, unknown): “[5,8–12,16,18,22–30,32–55,58,62–65,67–69]).”
• Volume Inequalities for Subspaces of L p (2004, unknown): “, [7], [8], [9], [15], [16], [17], [22], [23], [24], [25], [26], [27], [28], [30], [29], [31], [32], [33], [34], [35], [39], [43], [44], [45], [46], [48]) motivated the search for a direct approach to establishing these reverse inequalities.”
• Optimal Sobolev norms and the Lp Minkowski problem (2006, methodology): “, [5, 6, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 28, 30]) by using L Minkowski sums first introduced by Firey.”
• A volume inequality for polar bodies (2010, unknown): “, [8–13, 15, 21–38, 41, 44,45,47–49,51]).”
• The even Orlicz-Minkowski problem (2010, unknown): “[1–5, 7–10, 12, 13, 15–22, 25–39, 41–44, 47, 49, 50, 52–55, 58, 60–63, 65–68]).”