Selected Topics in Complex Analysis The S. Ya. Khavinson Memorial Volume /

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Eiderman, Vladimir Ya (Επιμελητής έκδοσης), Samokhin, Mikhail V. (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Birkhäuser Basel, 2005.
• Σειρά: Operator Theory: Advances and Applications ; 158
• Θέματα: Mathematics.; Approximation theory.; Functions of complex variables.; Operator theory.; Functions of a Complex Variable.; Approximations and Expansions.; Operator Theory.

 This volume is dedicated to the memory of the outstanding mathematician S.Ya. Khavinson. It begins with an expository paper by V.P. Havin presenting a comprehensive survey of Khavinson's works as well as certain biographical material. The complete bibliography following this paper has not previously been published anywhere. It consists of 163 items; a considerable part of these cannot be found in easily accessible sources. The book also contains a series of photographs and twelve original peer-reviewed research and expository papers by leading mathematicians worldwide, including the joint paper by S.Ya. Khavinson and T.S. Kuzina (the last publication of S.Ya. Khavinson). The main topics covered are extremal problems for various classes of functions, approximation problems, Cauchy integral and analytic capacity, Cantor sets, meromorphic functions (value distribution, quasinormal families), Carathéodory inequality, integral representation of functions, and the shift operator. The book is suitable for graduate students and researchers interested in analysis. 

 Semyon Yakovlevich Khavinson (May 17, 1927 – January 30, 2003) -- S.Ya. Khavinson: Bibliography -- S.Ya. Khavinson: Photos -- The Structural Formulae for Extremal Functions in Hardy Classes on Finite Riemann Surfaces -- Extremal Problems for Nonvanishing Functions in Bergman Spaces -- Generalization of Carathéodory’s Inequality and the Bohr Radius for Multidimensional Power Series -- Remarks on the Value Distribution of Meromorphic Functions -- Approximation Problems on the Unit Sphere in C2 -- Conformal Maps and Uniform Approximation by Polyanalytic Functions -- Capacities of Generalized Cantor Sets -- On A?,?P Spaces in the Half-Plane -- Estimate of the Cauchy Integral over Ahlfors Regular Curves -- Quasinormal Families of Meromorphic Functions II -- The Backward Shift on Hp -- On Some Classes of q-parametric Positive linear Operators.