On Systems of Partial Differential Equations Related to Real Algebras
This chapter contains the translation of the paper: M. Sce, Sui sistemi di equazioni differenziali a derivate parziali inerenti alle algebre reali, (Italian) Atti Accad. Naz. Lincei. Rend. Cl. Sci. Fis. Mat. Nat. (8) 18 (1955), 32–38 as well as some comme
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Michele Sce’s Works in Hypercomplex Analysis A Translation with Commentaries
Fabrizio Colombo • Irene Sabadini • Daniele C. Struppa
Michele Sce’s Works in Hypercomplex Analysis A Translation with Commentaries
Fabrizio Colombo Dipartimento di Matematica Politecnico di Milano Milano, Italy
Irene Sabadini Dipartimento di Matematica Politecnico di Milano Milano, Italy
Daniele C. Struppa Donald Bren Presidential Chair in Mathematics Chapman University Orange, CA, USA
ISBN 978-3-030-50215-7 ISBN 978-3-030-50216-4 (eBook) https://doi.org/10.1007/978-3-030-50216-4 Mathematics Subject Classification: 30G35, 15A66, 15A78 © The Editor(s) (if applicable) and The Author(s), under exclusive licence to Springer Nature Switzerland AG 2020 This work is subject to copyright. All rights are solely and exclusively licensed 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, expressed 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. This book is published under the imprint Birkhäuser, www.birkhauser-science.com, by the registered company Springer Nature Switzerland AG. The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Contents
1
Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . 1.1 Foreword . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . 1.2 Biography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . .
1 1 2 5
2 Monogenicity and Total Derivability in Real and Complex Algebras .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . 2.1 Monogenicity and Total Derivability in Real and Comple
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