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Functions of Completely Regular Growth
von L.I. RonkinInhaltsverzeichnis
- 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.
- 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.
- 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.
- 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.
- 6. Quasipolynomials.
- §1. M-quasipolynomials. Growth and zero distribution.
- §2. Entire functions that are quasipolynomials in every variable.
- §3. Factors of quasipolynomials.
- 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.