Integral Geometry and Valuations

• Main Authors: Alesker, Semyon (Author), Fu, Joseph H.G (Author)
• Corporate Author: SpringerLink (Online service)
• Other Authors: Gallego, Eduardo (Editor), Solanes, Gil (Editor)
• Format: Electronic eBook
• Language: English
• Published: Basel : Springer Basel : Imprint: Birkhäuser, 2014.
• Series: Advanced Courses in Mathematics - CRM Barcelona,
• Subjects: Mathematics.; Convex geometry.; Discrete geometry.; Differential geometry.; Convex and Discrete Geometry.; Differential Geometry.

Valuations are finitely additive functionals on the space of convex bodies. Their study has become a central subject in convexity theory, with fundamental applications to integral geometry. In the last years there has been significant progress in the theory of valuations, which in turn has led to im...