The Gauss Image Problem-Reference-Cited by-同舟云学术

The Gauss Image Problem

Published:2020-05-06 Issue:7 Volume:73 Page:1406-1452
ISSN:0010-3640
Container-title:Communications on Pure and Applied Mathematics
language:en
Short-container-title:Comm. Pure Appl. Math.

Author:

Böröczky Károly J.¹,Lutwak Erwin²,Yang Deane²,Zhang Gaoyong²,Zhao Yiming³

Affiliation:

1. Central European University and, Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences H‐1053 Budapest, Reáltanodau 13‐15 Hungary

2. Courant Institute 251 Mercer St New York NY 10012 USA

3. Department of Mathematics Massachusetts Institute of Technology 77 Massachusetts Ave. Cambridge MA 02139 USA

Publisher

Wiley

Subject

Applied Mathematics,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/cpa.21898

Reference59 articles.

1. Aleksandrov A. D.On the theory of mixed volumes. III. Extension of two theorems of Minkowski on convex polyhedra to arbitrary convex bodies.Mat. Sbornik N.S.3(1938) 27–46.

2. Aleksandrov A.Existence and uniqueness of a convex surface with a given integral curvature.C. R. (Doklady) Acad. Sci. URSS (N.S.)35(1942) 131–134.

3. Alesker S.Continuous rotation invariant valuations on convex sets.Ann. of Math. (2)149(1999) no. 3 977–1005. doi: 10.2307/121078

4. The multiplicative structure on continuous polynomial valuations

5. Harmonic Analysis of Translation Invariant Valuations

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