The Boundary Value Problems

Now we ask if we can determine a solution of the Maxwell equations in such a way that their boundary values assume specified values on a closed regular surface. It has already been shown that a field E, H which satisfies the equations exterior to a regula

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Herausgegeben von

J. L. Doob . A. Grothendieck . E. Heinz . F. Hirzebruch E. Hopf . H. Hopf . W. Maak . S. MacLane . W. Magnus M. M. Postnikov . F. K. Schmidt . D. S. Scott . K. Stein

Geschäftsführende Herausgeber

B. Eckmann und B. L. van der Waerden

Cla us Müller

Foundations of the Mathematical Theory of Electromagnetic Waves

Springer-Verlag Berlin Heidelberg GmbH 1969

Prof. Dr. Claus Mi.iller Technische Hochschule Aachen

Geschăftsfiihrende

Herausgeber:

Prof. Dr. B. Eckmann EidgenOssische Technische Hochschule Ziirich

Prof. Dr. B. L. van der Waerden Mathematisches Institut der Universitiit Ziirich

Revised and enlarged translation of Grundprobleme der mathematischen Theorie elektromagnetischer Schwingungen, 1957 (Grundlehren der mathematischen Wissenschaften, Voi. 88)

In cooperation with Dr. T. P. Higgins

ISBN 978-3-662-11775-0 DOI 10.1007/978-3-662-11773-6

ISBN 978-3-662-11773-6 (eBook)

This work is subject to copyright. AII rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to the publisher, the am o unt of the fee tobe determined by agreement with the publisher

© by Springer-Verlag Berlin Heidelberg 1969 Originally published by Springer-Verlag Berlin Heidelberg New York in 1969 Softcover reprint of the hardcover 1st edition 1969 Library of Congress Catalog Card Number 75-81586.

Claus Müller

F oundations of the Mathematical Theory of Electromagnetic Waves

Springer-Verlag Berlin Heidelberg GmbH 1969

Prof. Dr. Claus Müller Technische Hochschule Aachen

Geschäftsführende Herausgeber:

Prof. Dr. B. Eckmann Eidgenössische Technische Hochschule Zürich

Prof. Dr. B. L. van der Waerden Mathematisches Institut der Universität Zürich

Revised and enlarged translation of Grundprobleme der mathematischen Theorie elektromagnetischer Schwingungen, 1957 (Grundlehren der mathematischen Wissenschaften, Vol. 88)

In cooperation with Dr. T. P. Higgins

ISBN 978-3-662-11775-0 DOI 10.1007/978-3-662-11773-6

ISBN 978-3-662-11 773-6 (eBook)

This work is subject to copyright. All fights are reserved, whether the whole Of part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee Is payable to the publisher, the amaunt of the fee to he determined by agreement with the publisher

© by Springer-Verlag Berlin Heidelberg 1969 Originally published by Springer-Verlag Berlin Heidelberg New York in 1969 Softcover reprint of the hardcover 1st edition 1969 Library of Congress Catalog Card Number 75-81586. Title No. 5138

Preface The technical applications of the electromagnetic waves created a