Berndtsson, Bo An extension problem for convex functions. (English) Zbl 1488.26041 Brändén, Petter (ed.) et al., Notions of positivity and the geometry of polynomials. Dedicated to the memory of Julius Borcea. Basel: Birkhäuser. Trends Math., 33-37 (2011). Summary: We give a statement on an extension with estimates of convex functions defined on a linear subspace, inspired by similar extension results concerning metrics on positive line bundles.For the entire collection see [Zbl 1222.00033]. Cited in 1 Document MSC: 26B25 Convexity of real functions of several variables, generalizations 52A41 Convex functions and convex programs in convex geometry Keywords:log-convexity; Prekopa’s theorem PDFBibTeX XMLCite \textit{B. Berndtsson}, in: Notions of positivity and the geometry of polynomials. Dedicated to the memory of Julius Borcea. Basel: Birkhäuser. 33--37 (2011; Zbl 1488.26041) Full Text: DOI arXiv