Functions of Completely Regular Growth von L.I. Ronkin | ISBN 9789401057509

Functions of Completely Regular Growth

von L.I. Ronkin
Buchcover Functions of Completely Regular Growth | L.I. Ronkin | EAN 9789401057509 | ISBN 94-010-5750-8 | ISBN 978-94-010-5750-9

Functions of Completely Regular Growth

von L.I. Ronkin

Inhaltsverzeichnis

  • 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.