Finite‐contour dispersive inequalities are derived for a function f(ξ) which is analytic in the ξ plane except for a right‐hand cut. Inequalities are also derived for the derivative of the function. These inequalities are rigorous and the sharpest ones that can be derived using only analyticity.
REFERENCES
1.
For a summary see S. Okubo, University of Rochester preprint COO‐3065‐1 (1972) (to be published in Proceedings of the 1972 Coral Gables Conference on Fundamental Interactions at High Energy).
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5.
See for example, K. Hoffman, Banach Spaces of Analytic Functions (Prentice‐Hall, Englewood CLiffs, N.J., 1962).
6.
H. Helson, Lectures on Invariant Subspaces (Academic, New York, 1964).
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© 1973 The American Institute of Physics.
1973
The American Institute of Physics
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