03394nam 22006495 450 991030012280332120230607191809.03-319-71834-710.1007/978-3-319-71834-7(CKB)4100000002485374(MiAaPQ)EBC5357910(DE-He213)978-3-319-71834-7(PPN)224638912(EXLCZ)99410000000248537420180228d2018 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierAnalytic Aspects of Convexity /edited by Gabriele Bianchi, Andrea Colesanti, Paolo Gronchi1st ed. 2018.Cham :Springer International Publishing :Imprint: Springer,2018.1 online resource (125 pages)Springer INdAM Series,2281-5198 ;253-319-71833-9 1 Dual curvature measures in Hermitian integral geometry, A. Bernig, J. H. G. Fu and G. Solanes -- 2 Estimates for the integrals of powered i-th mean curvatures, M. H. Hernandez Cifre and D. Alonso-Gutierrez -- 3 Crofton formulae for tensorial curvature measures: the general case, D. Hug and J. A. Weis -- 4 Extensions of reverse volume difference inequalities, A. Koldobsky and D. Wu -- 5 Around the simplex mean width conjecture, A. Litvak -- 6 Discrete centro-affine curvatures for convex polygons, A. Stancu -- 7 Characterizing the volume via a Brunn-Minkowski inequality, J. Yepes-Nicolas.This book presents the proceedings of the international conference Analytic Aspects in Convexity, which was held in Rome in October 2016. It offers a collection of selected articles, written by some of the world’s leading experts in the field of Convex Geometry, on recent developments in this area: theory of valuations; geometric inequalities; affine geometry; and curvature measures. The book will be of interest to a broad readership, from those involved in Convex Geometry, to those focusing on Functional Analysis, Harmonic Analysis, Differential Geometry, or PDEs. The book is a addressed to PhD students and researchers, interested in Convex Geometry and its links to analysis.Springer INdAM Series,2281-5198 ;25Convex geometryDiscrete geometryMathematical analysisAlgebraic fieldsPolynomialsGroup theoryConvex and Discrete GeometryAnalysisField Theory and PolynomialsGroup Theory and GeneralizationsConvex geometry.Discrete geometry.Mathematical analysis.Algebraic fields.Polynomials.Group theory.Convex and Discrete Geometry.Analysis.Field Theory and Polynomials.Group Theory and Generalizations.516.08Bianchi Gabrieleedthttp://id.loc.gov/vocabulary/relators/edtColesanti Andreaedthttp://id.loc.gov/vocabulary/relators/edtGronchi Paoloedthttp://id.loc.gov/vocabulary/relators/edtBOOK9910300122803321Analytic Aspects of Convexity1564655UNINA