|
" Functions of Completely Regular Growth. "
Ronkin, L.I.
| Document Type
|
:
|
BL
|
| Record Number
|
:
|
775316
|
| Doc. No
|
:
|
b595311
|
| Main Entry
|
:
|
Ronkin, L.I.
|
| Title & Author
|
:
|
Functions of Completely Regular Growth.\ Ronkin, L.I.
|
| Publication Statement
|
:
|
Springer Verlag, 2013
|
| ISBN
|
:
|
9401124183
|
|
|
:
|
: 9789401124188
|
| Contents
|
:
|
1. Entire functions of completely regular growth of one variable.- 1. Preliminaries.- 2. Regularity of growth, D'-convergence and right distribution of zeros.- 3. Rays of completely regular growth. Addition of indicators.- Notes.- 2. Subharmonic functions of completely regular growth in Rn.- 1. General information on subharmonic functions. D*-convergence ..- 2. Criteria for regularity of growth in Rn.- 3. Rays of completely regular growth and limit sets.- 4. Addition of indicators.- Notes.- 3. Entire functions of completely regular growth in Cn.- 1. Functions of c completely regular growth on complex rays.- 2. Addition of indicators.- 3. Entire functions with prescribed behaviour at infinity.- Notes.- 4. Functions of completely regular growth in the half-plane or a cone.- 1. Preliminary information on functions holomorphic in a half-plane.- 2. Functions of completely regular growth in C+.- 3. Functions of completely regular growth in C+.- 4. Functions of completely regular growth in a cone.- Notes.- 5. Functions of exponential type and bounded on the real space (Fourier transforms of distribution of compact support).- 1. Regularity of growth of entire functions of exponential type and bounded on the real space.- 2. Discrete uniqueness sets.- 3. Norming sets.- Notes.- 6. Quasipolynomials.- 1. M-quasipolynomials. Growth and zero distribution.- 2. Entire functions that are quasipolynomials in every variable.- 3. Factors of quasipolynomials.- Notes.- 7. Mappings.- 1. Information on the general theory of holomorphic mappings.- 2. Plurisubharmonic functions of ?-regular growth and asymptotic behaviour of order functions of holomorphic mappings.- 3. Jessen's theorem for almost periodic holomorphic mappings.- Notes.
|
| LC Classification
|
:
|
QA331.7R665 2013
|
| Added Entry
|
:
|
Ronkin, L.I.
|
| |