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Unitary representations and harmonic analysis

Sugiura, Mitsuo, 1928-

Unitary representations and harmonic analysis an introduction / [electronic resource] : Mitsuo Sugiura. - 2nd ed. - Amsterdam ; New York : Tokyo : New York, N.Y., U.S.A. : North-Holland ; Kodansha ; Distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1990. - 1 online resource (xv, 452 p.) - North-Holland mathematical library ; v. 44 Kodansha scientific books . - North-Holland mathematical library ; v. 44. Kodansha scientific books. .

Includes bibliographical references (p. 417-448) and index.

Front Cover; Unitary Representations and Harmonic Analysis; Copyright Page; Preface to the Second Edition; Preface; Contents; Conventions and Notations; Chapter I. Fourier series and the torus group T; Chapter II. Representations of SU(2) and SO(3); Chapter III. The Fourier transform and unitary representations of Rn; Chapter IV. The Euclidean motion group; Chapter V. Unitary representation of SL(2, R); Appendix; Notes; Bibliography; Index;

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The principal aim of this book is to give an introduction to harmonic analysis and the theory of unitary representations of Lie groups. The second edition has been brought up to date with a number of textual changes in each of the five chapters, a new appendix on Fatou's theorem has been added in connection with the limits of discrete series, and the bibliography has been tripled in length.


Electronic reproduction.
[S.l.] :
HathiTrust Digital Library,
2010.


Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
http://purl.oclc.org/DLF/benchrepro0212

9780444885937 0444885935 9780080887593 (electronic bk.) 0080887597 (electronic bk.)

121288:123308 Elsevier Science & Technology http://www.sciencedirect.com


Lie groups.
Representations of groups.
Harmonic analysis.
Lie, groupes de.
Repr�esentations de groupes.
Analyse harmonique.
Harmonic analysis.
Lie groups.
Representations of groups.
MATHEMATICS--Algebra--Linear.

Series (Mathematics)


Electronic books.

QA387 / .S84 1990eb

512/.55