Roger Godement
Universit~ Paris VII
D~partement de Math~matiques
2, place Jussieu
75251 Paris Cedex 05
France
e-mail: rgodement@aol.com
Translator:
Philip Spain
Mathematics Department
University of Glasgow
Glasgow G12 8QW
Scotland
e-mail: pgs@maths.gla.ac.uk
Cataloging-in-Publication Data applied for
A catalog record for this book is available from the Library of Congress.
Bibliographic information published by Die Deutsche Bibliothek
Die Deutsche Bibliotheklists this publication in the Deutsche Nationalbibliografie;
detailed bibliographic data is available in the Internet at.
Originally published by Springer-Verlag as Analyse mathematique I. Convergence,
fonctions eiementaires,199S: ISBN 3-540-42057-6
ISBN 3-540-05923-7 Springer-Verlag Berlin Heidelberg New York
Mathematics Subject Classification (2000): 26-01, 26A03, 26A06, 26A12, 26A15, 26A24,
26A42, 26B05, 2S-XX, 30-XX, 30-01, 31-XX, 41-XX, 42-xx, 42-01, 43-XX, 54-XX
This work is subject to copyright. All rights are reserved, whether the whole or part of the material is
concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation,
broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of
this publication or parts thereof is permitted only under the provisions of the German Copyright Law
of September 9,1965, in its current version, and permission for use must always be obtained from Sprin·
ger-Verlag. Violations are liable for prosecution under the German Copyright Law.
Springer-Verlag is a part of Sprinser Science+Business Media
springeronline.com
e Springer-Verlag Berlin Heidelberg 2004
Printed in Germany
The use of general descriptive names, registered names, trademarks etc. in this publication does not
imply, even in the absence of a specific statement, that such names are exempt from the relevant
protective Jaws and regulations and therefore free for general use.
Cover design: design 6- production, Heidelberg
1fpesetting by the Translator using a 1£X macro package
Printed on acid-free paper
4113142ck-54 3 21 0
Universit~ Paris VII
D~partement de Math~matiques
2, place Jussieu
75251 Paris Cedex 05
France
e-mail: rgodement@aol.com
Translator:
Philip Spain
Mathematics Department
University of Glasgow
Glasgow G12 8QW
Scotland
e-mail: pgs@maths.gla.ac.uk
Cataloging-in-Publication Data applied for
A catalog record for this book is available from the Library of Congress.
Bibliographic information published by Die Deutsche Bibliothek
Die Deutsche Bibliotheklists this publication in the Deutsche Nationalbibliografie;
detailed bibliographic data is available in the Internet at
Originally published by Springer-Verlag as Analyse mathematique I. Convergence,
fonctions eiementaires,199S: ISBN 3-540-42057-6
ISBN 3-540-05923-7 Springer-Verlag Berlin Heidelberg New York
Mathematics Subject Classification (2000): 26-01, 26A03, 26A06, 26A12, 26A15, 26A24,
26A42, 26B05, 2S-XX, 30-XX, 30-01, 31-XX, 41-XX, 42-xx, 42-01, 43-XX, 54-XX
This work is subject to copyright. All rights are reserved, whether the whole or part of the material is
concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation,
broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of
this publication or parts thereof is permitted only under the provisions of the German Copyright Law
of September 9,1965, in its current version, and permission for use must always be obtained from Sprin·
ger-Verlag. Violations are liable for prosecution under the German Copyright Law.
Springer-Verlag is a part of Sprinser Science+Business Media
springeronline.com
e Springer-Verlag Berlin Heidelberg 2004
Printed in Germany
The use of general descriptive names, registered names, trademarks etc. in this publication does not
imply, even in the absence of a specific statement, that such names are exempt from the relevant
protective Jaws and regulations and therefore free for general use.
Cover design: design 6- production, Heidelberg
1fpesetting by the Translator using a 1£X macro package
Printed on acid-free paper
4113142ck-54 3 21 0