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Bernstein's inequality for locally compact Abelian groups

  • Walter R. Bloom (a1)

Extract

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].

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References

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[1]Edwards, R. E., ‘Supports and singular supports of pseudomeasures’, J. Austral. Math. Soc. 6 (1966), 6575.
[2]Gaudry, G. I., ‘Multipliers of type (p, q)’, Pacific J. Math. 18 (1966), 477488.
[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).
[4]Katznelson, Yitzhak, An Introduction to HArmonic Analysis (John Wiley and Sons, Inc., New york, London, Sydney, Toronto, 1968).
[5]Rudin, Walter, Fourier Analysis on Groups (Interscience Publishers, New york, London, 1962; 2nd printing, 1967).
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Bernstein's inequality for locally compact Abelian groups

  • Walter R. Bloom (a1)

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