Potential Theory
Potential Theory presents a clear path from calculus to classical potential theory and beyond, with the aim of moving the reader into the area of mathematical research as quickly as possible. The subject matter is developed from first principles using onl
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Lester L. Helms
Potential Theory Second Edition
Universitext
Universitext
Series Editors Sheldon Axler San Fransisco State University, San Fransisco, CA, USA Vincenzo Capasso Università degli Studi di Milano, Milan, Italy Carles Casacuberta Universitat de Barcelona, Barcelona, Spain Angus MacIntyre Queen Mary University of London, London, UK Kenneth Ribet University of California at Berkeley, Berkeley, CA, USA Claude Sabbah CNRS, Ecole polytechnique Centre de mathématiques, Palaiseau, France Endre Süli University of Oxford, Oxford, UK Wojbor A. Woyczynski Case Western Reserve University, Cleveland, OH, USA
Universitext is a series of textbooks that presents material from a wide variety of mathematical disciplines at master’s level and beyond. The books, often well class-tested by their author, may have an informal, personal, even experimental approach to their subject matter. Some of the most successful and established books in the series have evolved through several editions, always following the evolution of teaching curricula, into very polished texts. Thus as research topics trickle down into graduate-level teaching, first textbooks written for new, cutting-edge courses may make their way into Universitext. For further volumes: http://www.springer.com/series/223
Lester L. Helms
Potential Theory Second Edition
123
Lester L. Helms University of Illinois Urbana, IL USA
ISSN 0172-5939 ISSN 2191-6675 (electronic) ISBN 978-1-4471-6421-0 ISBN 978-1-4471-6422-7 (eBook) DOI 10.1007/978-1-4471-6422-7 Springer London Heidelberg New York Dordrecht Library of Congress Control Number: 2014935225 Mathematics Subject Classification: 31A15, 31A20, 31A25, 31A30, 31B05, 31B15, 31C05, 31C15, 31C40, 60J35, 60J60 Springer-Verlag London 2009, 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 e
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