UID:
almahu_9948210665002882
Format:
1 online resource (xv, 248 p. : ill.)
Edition:
Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012
ISBN:
9780821833162 (online)
Series Statement:
Translations of Mathematical Monographs, v. 150
Note:
Translated from the author's Russian manuscript.
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Lecture 1. Growth of entire functions
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Lecture 2. Main integral formulas for functions analytic in a disk
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Lecture 3. Some applications of the Jensen formula
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Lecture 4. Factorization of entire functions of finite order
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Lecture 5. The connection between the growth of entire functions and the distribution of their zeros
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Lecture 6. Theorems of Phragmén and Lindelöf
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Lecture 7. Subharmonic functions
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Lecture 8. The indicator function
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Lecture 9. The Polya theorem
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Lecture 10. Applications of the Pólya theorem
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Lecture 11. Lower bounds for analytic and subharmonic functions
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Lecture 12. Entire functions with zeros on a ray
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Lecture 13. Entire functions with zeros on a ray (continuation)
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Lecture 14. Integral representation of functions analytic in the half-plane
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Lecture 15. The Hayman theorem
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Lecture 16. Functions of class $C$ and their applications
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Lecture 17. Zeros of functions of class $C$
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Lecture 18. Completeness and minimality of systems of exponential functions in $L^2(a,b)$
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Lecture 19. Hardy spaces in the upper half-plane
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Lecture 20. Interpolation by entire functions of exponential type
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Lecture 21. Interpolation by entire functions from the spaces $L_\pi $ and $B_\pi $
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Lecture 22. Sine-type functions
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Lecture 23. Riesz bases formed by exponential functions in $L^2(-\pi ,\pi )$
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Appendix. Completeness of the Eigenfunction system of a quadratic operator pencil
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Lecture 24. The formulas of Carleman and R. Nevanlinna and their applications
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Lecture 25. Uniqueness problems for Fourier transforms and for infinitely differentiable functions
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Lecture 26. The Matsaev theorem on the growth of entire functions admitting a lower bound
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Lecture 27. Entire functions of class $P$
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Lecture 28. S. N. Bernstein's inequality for entire functions of exponential type and its generalizations
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Mode of access : World Wide Web
Additional Edition:
Print version: Levin, B. I︠A︡. Lectures on entire functions / ISSN 0065-9282 ISBN 9780821808979
Language:
English
