TY - BOOK ID - 5453059 TI - Sharp real-part theorems : a unified approach AU - Kresin, Gershon AU - Mazʹi︠a︡, V. G. AU - Shaposhnikova, T. O. PY - 2007 SN - 9783540695738 3540695737 9786610804931 1280804939 3540695745 PB - Berlin ; Heidelberg : Springer-Verlag, DB - UniCat KW - Analytic functions. KW - Approximation theory. KW - Analytic functions KW - Approximation theory KW - Mathematics KW - Physical Sciences & Mathematics KW - Calculus KW - Theory of approximation KW - Functions, Analytic KW - Functions, Monogenic KW - Functions, Regular KW - Regular functions KW - Mathematics. KW - Functions of complex variables. KW - Potential theory (Mathematics). KW - Functions of a Complex Variable. KW - Potential Theory. KW - Green's operators KW - Green's theorem KW - Potential functions (Mathematics) KW - Potential, Theory of KW - Mathematical analysis KW - Mechanics KW - Complex variables KW - Elliptic functions KW - Functions of real variables KW - Math KW - Science KW - Functional analysis KW - Functions KW - Polynomials KW - Chebyshev systems KW - Functions of complex variables KW - Series, Taylor's UR - https://www.unicat.be/uniCat?func=search&query=sysid:5453059 AB - 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. ER -