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Function spaces on the unit circle

Published online by Cambridge University Press:  17 April 2009

Richard J. Loy
Richard J. Loy
Affiliation:
Department of Mathematics, Faculty of Science, Australian National University, PO Box 4, Canberra, ACT 2600, Australia.
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Abstract

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In this note we give some negative results concerning the question of whether certain integrable functions on the unit circle with mean value zero are expressible as finite sums of differences g – gα of integrable functions g, where gα denotes the translate of g by α.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 27 , Issue 1 , February 1983 , pp. 107 - 113
Copyright
Copyright © Australian Mathematical Society 1983

References

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