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The contributions in this volume have been written by eminent scientists from the international mathematical community and present significant advances in several theories, methods and problems of Mathematical Analysis, Discrete Mathematics, Geometry and their Applications. The chapters focus on both old and recent developments in Functional Analysis, Harmonic Analysis, Complex Analysis, Operator Theory, Combinatorics, Functional Equations, Differential Equations as well as a variety of Applications.
The book also contains some review works, which could prove particularly useful for a broader audience of readers in Mathematical Sciences, and especially to graduate students looking for the latest information.
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Mathematics Without Boundaries Themistocles M. Rassias • Panos M. Pardalos Editors Mathematics Without Boundaries Surveys in Pure Mathematics 2123 Editors Themistocles M. Rassias Department of Mathematics National Technical University of Athens Athens, Greece Panos M. Pardalos Dept. Industrial & Systems Engineering University of Florida Gainesville, FL, USA ISBN 978-1-4939-1105-9 ISBN 978-1-4939-1106-6 (eBook) DOI 10.1007/978-1-4939-1106-6 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2014940540 Mathematics Subject Classification (2010): 05A16, 05A, 15, 05A18, 11B75, 30C45, 26D15, 31A10, 45P05, 47G10, 47A07, 46B04, 46B20, 46A16, 46E40 © Springer Science+Business Media, LLC 2014 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. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. 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. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com) Preface “Mathematics Without Boundaries: Surveys in Pure Mathematics” consists of chapters written by eminent scientists from the international mathematical community, who present significant advances in several theories, methods and problems of mathematical analysis, discrete mathematics, geometry and their applications. These contributions focus on both old and recent developments in functional analysis, harmonic analysis, complex analysis, operator theory, combinatorics, functional equations, differential equation