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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 centre 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. This book is intended for graduate students studying the theory of analytic functions and research mathematicians working in adjacent fields and applications.