Abstract
By the Pick class we shall mean the class of functions φ(ζ) = U(ζ) + i V(ζ) analytic in the upper half-plane with positive imaginary part; thus if ζ = ζ + iη then V(ζ)≧0 if η>0. We denote the class by the letter P, and sometimes call functions in the class Pick functions.
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© 1974 Springer-Verlag Berlin Heidelberg
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Donoghue, W.F. (1974). Pick Functions. In: Monotone Matrix Functions and Analytic Continuation. Die Grundlehren der mathematischen Wissenschaften, vol 207. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-65755-9_2
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DOI: https://doi.org/10.1007/978-3-642-65755-9_2
Publisher Name: Springer, Berlin, Heidelberg
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