Linear Analysis and Representation Theory

In an age when more and more items. are made to be quickly disposable or soon become obsolete due to either progress or other man caused reasons it seems almost anachronistic to write a book in the classical sense. A mathematics book becomes an indespensi

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Herausgegeben von J. L. Doob A. Grothendieck E. Heinz

F. Hirzebruch E. Hopf W. Maak S. MacLane W. Magnus J. K. Moser M. M. Postnikov F. K. Schmidt D. S. Scott K. Stein

Geschaftsfuhrende Herausgeber B. Eckmann und B. L. van der Waerden

Steven A. Gaal

Linear Analysis and Representation Theory

Springer-Verlag Berlin Heidelberg New York 1973

Steven A. Gaal University of Minnesota, School of Mathematics, Minneapolis, Minnesota 55455, U.S.A.

Geschaftsfilhrende Hera usgeber

B. Eckmann Eidgenossische Technische Hochschule Zurich

B. L. van der Waerden Mathematisches Institut der Universitat Zurich

AMS Subject Classifications (1970) Primary: 22D05, 22D10, 22D15, 22D25, 22D30, 22E15, 22E60, 28A 70, 43A35, 43A65, 43A85, 43A90 Secondary: 46H05, 46J 05,47 A 10,47 B05, 47B 10, 58A05

ISBN-13 :978-3-642-80743-5

e-ISBN-13:978-3-642-80741-1

DOl: 10.1007/978-3-642-80741-1

This work is subject to copyright. All 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 amount of the fee to be determined by agreement with the publisher. © by SpringerVerlag Berlin Heidelberg 1973. Library of Congress Catalog Card Number 72-95686. Softcover reprint of the hardcover 1st edition 1973

Steven A. Gaal

Linear Analysis and Representation Theory

Springer-Verlag New Yark Heidelberg Berlin 1973

Steven A. Gaal University of Minnesota, School of Mathematics, Minneapolis, Minnesota 55455, U.S.A.

Geschiiftsfiihrende Herausgeber

B. Eckmann Eidgenossische Technische Hochschule Zurich B. L. van der Waerden Mathematisches Institut der Universitiit Zurich

AMS Subject Classifications (1970) Primary: 22 D05, 22D 10, 22D 15, 22D25, 22D30, 22E 15, 22E60, 28A 70, 43A35, 43A65, 43A85, 43A90 Secondary: 46H05, 46J05, 47Al0, 47B05, 47Bl0, 58A05

ISBN-13 :978-3-642-80743-5

e-ISBN-13:978-3-642-80741-1

DOl: 10.1007/978-3-642-80741-1

This work is subject to copyright. All 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 amount of the fee to be determined by agreement with the publisher. © by SpringerVerlag Berlin Heidelberg 1973. Library of Congress Catalog Card Number 72-95686. Softcover reprint of the hardcover I st edition 1973

Preface

In an age when more and more items. are made to be quickly disposable or soon become obsolete due to either progress or other man caused reasons it seems almost anachronistic to write a book in the classical sense. A mathematics book becomes an indespensible companion, if it is w