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Record Nr. |
UNINA9910300122803321 |
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Titolo |
Analytic Aspects of Convexity [[electronic resource] /] / edited by Gabriele Bianchi, Andrea Colesanti, Paolo Gronchi |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 |
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ISBN |
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Edizione |
[1st ed. 2018.] |
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Descrizione fisica |
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1 online resource (125 pages) |
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Collana |
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Springer INdAM Series, , 2281-518X ; ; 25 |
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Disciplina |
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Soggetti |
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Convex geometry |
Discrete geometry |
Mathematical analysis |
Analysis (Mathematics) |
Algebra |
Field theory (Physics) |
Group theory |
Convex and Discrete Geometry |
Analysis |
Field Theory and Polynomials |
Group Theory and Generalizations |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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This book presents the proceedings of the international conference Analytic Aspects in Convexity, which was held in Rome in October |
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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. |
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