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Bernstein's inequality for locally compact Abelian groups

Published online by Cambridge University Press:  09 April 2009

Walter R. Bloom
Walter R. Bloom
Affiliation:
Department of mathematics Institute of Advanced Studies Australian National UniversityCanberra, 2600.
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This paper is concerned with version of Bernstein's inequality for Hausdroff locally compact Abelian groups. The ideas used are suggested by Exercise 12, p. 17 of Katznelson's book [4].

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 17 , Issue 1 , February 1974 , pp. 88 - 101
Copyright
Copyright © Australian Mathematical Society 1974

References

[1]Edwards, R. E., ‘Supports and singular supports of pseudomeasures’, J. Austral. Math. Soc. 6 (1966), 65–75.CrossRefGoogle Scholar
[2]Gaudry, G. I., ‘Multipliers of type (p, q)’, Pacific J. Math. 18 (1966), 477–488.CrossRefGoogle Scholar
[3]Hewitt, Edwin and Ross, Kenneth A., Abstract Harmonic Analysis, Volumes I, II (Die Grundlehren der mathematischen wissenschaften, Bände 115, 152. Academic Press, New York, Spring-verlag, Berlin, Göttingen, Heidelberg, 1963, 1970).Google Scholar
[4]Katznelson, Yitzhak, An Introduction to HArmonic Analysis (John Wiley and Sons, Inc., New york, London, Sydney, Toronto, 1968).Google Scholar
[5]Rudin, Walter, Fourier Analysis on Groups (Interscience Publishers, New york, London, 1962; 2nd printing, 1967).Google Scholar