L. I. Ronkin

Functions of Completely Regular Growth (eBook, PDF)

• Format: PDF

Produktbeschreibung

Zur Zeit liegt uns keine Inhaltsangabe vor.

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Produktdetails

• Verlag: Springer Netherlands
• Seitenzahl: 392
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9789401124188
• Artikelnr.: 44060153

Inhaltsangabe

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.