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Lectures on Entire Functions
| Softcover ISBN: | 978-0-8218-0897-9 |
| Product Code: | MMONO/150.S |
| List Price: | $165.00 |
| MAA Member Price: | $148.50 |
| AMS Member Price: | $132.00 |
| eBook ISBN: | 978-0-8218-3316-2 |
| Product Code: | MMONO/150.E |
| List Price: | $155.00 |
| MAA Member Price: | $139.50 |
| AMS Member Price: | $124.00 |
| Softcover ISBN: | 978-0-8218-0897-9 |
| eBook: ISBN: | 978-0-8218-3316-2 |
| Product Code: | MMONO/150.S.B |
| List Price: | $320.00 $242.50 |
| MAA Member Price: | $288.00 $218.25 |
| AMS Member Price: | $256.00 $194.00 |
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Lectures on Entire Functions
| Softcover ISBN: | 978-0-8218-0897-9 |
| Product Code: | MMONO/150.S |
| List Price: | $165.00 |
| MAA Member Price: | $148.50 |
| AMS Member Price: | $132.00 |
| eBook ISBN: | 978-0-8218-3316-2 |
| Product Code: | MMONO/150.E |
| List Price: | $155.00 |
| MAA Member Price: | $139.50 |
| AMS Member Price: | $124.00 |
| Softcover ISBN: | 978-0-8218-0897-9 |
| eBook ISBN: | 978-0-8218-3316-2 |
| Product Code: | MMONO/150.S.B |
| List Price: | $320.00 $242.50 |
| MAA Member Price: | $288.00 $218.25 |
| AMS Member Price: | $256.00 $194.00 |
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Book DetailsTranslations of Mathematical MonographsVolume: 150; 1996; 248 ppMSC: Primary 30
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Table of Contents
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Part I. Entire functions of finite order
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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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Part II. Entire functions of exponential type
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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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Part III. Some additional problems of the theory of entire functions
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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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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Requests
-
Part I. Entire functions of finite order
-
Lecture 1. Growth of entire functions
-
Lecture 2. Main integral formulas for functions analytic in a disk
-
Lecture 3. Some applications of the Jensen formula
-
Lecture 4. Factorization of entire functions of finite order
-
Lecture 5. The connection between the growth of entire functions and the distribution of their zeros
-
Lecture 6. Theorems of Phragmén and Lindelöf
-
Lecture 7. Subharmonic functions
-
Lecture 8. The indicator function
-
Lecture 9. The Polya theorem
-
Lecture 10. Applications of the Pólya theorem
-
Lecture 11. Lower bounds for analytic and subharmonic functions
-
Lecture 12. Entire functions with zeros on a ray
-
Lecture 13. Entire functions with zeros on a ray (continuation)
-
Part II. Entire functions of exponential type
-
Lecture 14. Integral representation of functions analytic in the half-plane
-
Lecture 15. The Hayman theorem
-
Lecture 16. Functions of class $C$ and their applications
-
Lecture 17. Zeros of functions of class $C$
-
Lecture 18. Completeness and minimality of systems of exponential functions in $L^2(a,b)$
-
Lecture 19. Hardy spaces in the upper half-plane
-
Lecture 20. Interpolation by entire functions of exponential type
-
Lecture 21. Interpolation by entire functions from the spaces $L_\pi $ and $B_\pi $
-
Lecture 22. Sine-type functions
-
Lecture 23. Riesz bases formed by exponential functions in $L^2(-\pi ,\pi )$
-
Appendix. Completeness of the Eigenfunction system of a quadratic operator pencil
-
Part III. Some additional problems of the theory of entire functions
-
Lecture 24. The formulas of Carleman and R. Nevanlinna and their applications
-
Lecture 25. Uniqueness problems for Fourier transforms and for infinitely differentiable functions
-
Lecture 26. The Matsaev theorem on the growth of entire functions admitting a lower bound
-
Lecture 27. Entire functions of class $P$
-
Lecture 28. S. N. Bernstein’s inequality for entire functions of exponential type and its generalizations
Review Copy – for publishers of book reviews
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