Analytic Aspects of Convexity
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 Ge
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Gabriele Bianchi Andrea Colesanti Paolo Gronchi Editors
Analytic Aspects of Convexity
Springer INdAM Series Volume 25
Editor-in-Chief G. Patrizio Series Editors C. Canuto G. Coletti G. Gentili A. Malchiodi P. Marcellini E. Mezzetti G. Moscariello T. Ruggeri
More information about this series at http://www.springer.com/series/10283
Gabriele Bianchi • Andrea Colesanti • Paolo Gronchi Editors
Analytic Aspects of Convexity
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Editors Gabriele Bianchi Dept. of Mathematics and Computer Science “U. Dini” University of Florence Florence, Italy
Andrea Colesanti Dept. of Mathematics and Computer Science “U. Dini” University of Florence Florence, Italy
Paolo Gronchi Dept. of Mathematics and Computer Science “U. Dini” University of Florence Florence, Italy
ISSN 2281-518X ISSN 2281-5198 (electronic) Springer INdAM Series ISBN 978-3-319-71833-0 ISBN 978-3-319-71834-7 (eBook) https://doi.org/10.1007/978-3-319-71834-7 Library of Congress Control Number: 2018934461 © Springer International Publishing AG 2018 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Preface
This volume contains a selection of papers presented at the INdAM Workshop “Analytic Aspects of Convexity” and closely related works by some of the participants. This conference, held in Rome from October 10 to 14, 2016, represented a continuation of a series of conferences, with the same title, organized by Stefano Campi, Rolf Schneider and Aljoša Volˇciˇc. The previous conferences were held in Cortona every 4 years from 1995 to 2011. Convexity is a notion which plays a significant role in numerous areas of mathematics and its use dates back several centuries. It was essentially th
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