Abstract Harmonic Analysis, Volume 2

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Springer Science & Business Media, Aug 5, 1994 - Mathematics - 771 pages
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This book is a continuation of vol. I (Grundlehren vol. 115, also available in softcover), and contains a detailed treatment of some important parts of harmonic analysis on compact and locally compact abelian groups. From the reviews: "This work aims at giving a monographic presentation of abstract harmonic analysis, far more complete and comprehensive than any book already existing on the subject...in connection with every problem treated the book offers a many-sided outlook and leads up to most modern developments. Carefull attention is also given to the history of the subject, and there is an extensive bibliography...the reviewer believes that for many years to come this will remain the classical presentation of abstract harmonic analysis." Publicationes Mathematicae
 

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Contents

II
1
III
60
IV
115
V
156
VI
209
VIII
253
IX
291
X
328
XVI
522
XVII
552
XVIII
576
XIX
606
XX
631
XXI
680
XXII
710
XXIII
726

XI
367
XII
390
XIII
415
XIV
449
XV
484
XXIV
729
XXV
752
XXVI
756
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Page 735 - On the expression of a given function as the Fourier-Stieltjes transform of a distribution function whose spectrum is confined to a given set, J. London Math. Soc., 12, 253-257 (1937).
Page 740 - Lp Fourier Transforms on Locally Compact Unimodular Groups," Trans. Amer. Math. Soc. 89 (1958), 519.
Page 749 - John [1], Ideals in a class of commutative Banach algebras, Duke Math. J., 20, 273-278 (1953). — [2], Maximal subalgebras of group-algebras, Proc.

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