Functions of Completely Regular Growth [Paperback]

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. Jessens theorem for almost periodic holomorphic mappings.- Notes.Springer Book Archives