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Mean values and classes of harmonic functions

Published online by Cambridge University Press:  24 October 2008

Thomas Ramsey  and
Yitzhak Weit
Thomas Ramsey
Affiliation:
Department of Mathematics, University of Hawaii at Manoa
Yitzhak Weit
Affiliation:
Department of Mathematics, University of Hawaii at Manoa
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Extract

Let μ be a finite complex Borel measure supported on the unit circle

.

In this paper, we are concerned with the characterization of the sets of functions satisfying the generalized mean value equation of the form

.

and for all ξ ∈ , | ξ | = R for some fixed R > 0.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 96 , Issue 3 , November 1984 , pp. 501 - 505
Copyright
Copyright © Cambridge Philosophical Society 1984

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References

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