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Published online by Cambridge University Press: 05 August 2012
In the main text of this book the use of such theorems as we shall briefly describe here has been avoided. For more sophisticated applications this is not possible and so for the sake of completeness two relatively simple results of this type will be given which are often useful. This type of theorem is closely related to the Maximum Principle but characteristic of the class of Borel–Caratheodory Theorems is that one assumes only a bound on the real part and deduces one on the imaginary part from this.
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