Lectures on entire functions

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Lectures on entire functions / B.Ya. Levin ; in collaboration with Yu. Lyubarskiĭ, M. Sodin, V. Tkachenko ; [translated by Vadim Tkachenko from an original Russian manuscript]

資料種別:

図書

出版情報:

Providence, R.I. : American Mathematical Society, c1996

形態:

xv, 248 p. ; 26 cm

シリーズ名:

Translations of mathematical monographs ; v. 150 <BA00080309>

著者名:

ISBN:

9780821802823 [0821802828]
9780821808979 [0821808974] (: soft cover)

書誌ID:

BA28152916

子書誌情報

フルテキスト

所蔵情報

他の版・巻

書誌詳細

その他の標題:

Целые функции
T︠s︡elye funkt︠s︡ii

注記:

Translated from the author's Russian manuscript
Bibliography: p. 239-243
Includes indexes

主題:

Functions, Entire

言語:

英語

目次情報:

Entire Functions of Finite Order: Growth of entire functions / Part I：

Main integral formulas for functions analytic in a disk

Some applications of the Jensen formula

Factorization of entire functions of finite order

The connection between the growth of an entire function and the distribution of its zeros

Theorems of Phragmen and Lindelof Subharmonic functions

The indicator function

The Polya

Theorem Applications of the Polya Theorem

Lower bounds for analytic and subharmonic functions

Entire functions with zeros on a ray

Entire functions with zeros on a ray (continuation)

Entire Functions of Exponential Type: Integral representaiton of functions analytic in the half-plane / Part II：

The Hayman

Theorem Functions of class $C$ and their applications

Zeros of functions of class $C$

Completeness and minimality of system of exponential functions in $L^2(0,a)$

Interpolation by entire functions of exponential type

Interpolation by entire functions of the spaces $L_\pi$ and $B_\pi$

Sin-type functions

Riesz bases formed by exponential functions in $L^2(-\pi,\pi )$

Completeness of the eigenfunction system of a quadratic operator pencil

Some Additional Problems of the Theory of Entire Functions: Carleman's and R. Nevanlinna's formulas and their applications / Part III：

Uniqueness problems for Fourier transforms and for infinitely-differentiable functions

The Matsaev

Theorem on the growth of entire functions admitting a lower bound

Entire functions of the class $P$

S. N. Bernstein's inequality for entire functions of exponential type and its generalizations

Bibliography

Author Index

Subject Index

Entire Functions of Finite Order: Growth of entire functions / Part I：

Main integral formulas for functions analytic in a disk

Some applications of the Jensen formula

Factorization of entire functions of finite order

The connection between the growth of an entire function and the distribution of its zeros

Theorems of Phragmen and Lindelof Subharmonic functions

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