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As a brilliant university lecturer, B. Ya. Levin attracted a large audience of working mathematicians and of students from various levels and backgrounds. For approximately 40 years, his Kharkov University seminar was a school for mathematicians working in analysis and a center for active research. This monograph aims to expose the main facts of the theory of entire functions and to give their applications in real and functional analysis. The general theory starts with the fundamental results on the growth of entire functions of finite order, their factorization according to the Hadamard theorem, properties of indicator and theorems of Phragmen-Lindelof type.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
As a brilliant university lecturer, B. Ya. Levin attracted a large audience of working mathematicians and of students from various levels and backgrounds. For approximately 40 years, his Kharkov University seminar was a school for mathematicians working in analysis and a center for active research. This monograph aims to expose the main facts of the theory of entire functions and to give their applications in real and functional analysis. The general theory starts with the fundamental results on the growth of entire functions of finite order, their factorization according to the Hadamard theorem, properties of indicator and theorems of Phragmen-Lindelof type.
Readers with some previous knowledge will experience pleasant surprises at the deft way in which the material is presented. David Drasin's excellent translation is smooth and idiomatic. It reads like a book written in English by a gifted expositor. --Zentralblatt MATH
These 28 lectures are written in the elegant form that was typical of the teaching style of B. Ya. Levin. --Mathematical Reviews
Very welcome ... superbly organised ... would form an ideal basis for an advanced course. The student is not overloaded, but each lecture contains new and interesting material. --Bulletin of the London Mathematical Society
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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