Sharp Real-Part Theorems
A Unified Approach
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Beschreibung
This volume contains a coherent point of view on various sharp pointwise inequalities for analytic functions in a disk in terms of the real part of the function on the boundary circle or in the disk itself. Inequalities of this type are frequently used in the theory of entire functions and in the analytic number theory. Rich opportunities are anticipated to extend these inequalities to analytic functions of several complex variables and solutions of partial differential equations.
Includes supplementary material: sn.pub/extras
Autor*in
Gershon Kresin
Themen in »Sharp Real-Part Theorems«
Sharp Sharp estimates Volume analytic function analytic functions approximation derivative equation harmonic functions history of mathematics knowledge number theory power series real part theorem
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From the reviews:
"The subject matter of the book under review is a unified approach to sharp pointwise estimates for analytic functions … . An index, a list of symbols and 92 references are also provided. Analysts will find this book as an excellent resource for ‘real-part theorems’ and related inequalities. One can expect rich opportunities for extending the indicated inequalities to analytic functions of several complex variables and solutions of partial differential equations. This work is a welcome addition to the literature." (George Csordas, Zentralblatt MATH, Vol. 1117 (19), 2007)
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