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Lectures on Entire Functions
 
B.Ya. Levin Institute of Low Temperature Physics and Engineeri, Kharkov, Ukraine
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
Lectures on Entire Functions
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Lectures on Entire Functions
B.Ya. Levin Institute of Low Temperature Physics and Engineeri, Kharkov, Ukraine
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
  • Book Details
     
     
    Translations of Mathematical Monographs
    Volume: 1501996; 248 pp
    MSC: Primary 30;
  • Table of Contents
     
     
    • 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1501996; 248 pp
MSC: Primary 30;
  • 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
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.