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Functions of completely regular growth

Author: L I Ronkin
Publisher: Dordrecht ; Boston : Kluwer Academic Publishers, ©1992.
Series: Mathematics and its applications (Kluwer Academic Publishers)., Soviet series ;, 81.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

This monograph deals with functions of completely regular growth (FCRG), ie functions that have, in some sense, good asymptotic behaviour out of an exceptional set. It describes the theory and  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: L I Ronkin
ISBN: 0792316770 9780792316770
OCLC Number: 25315591
Description: xii, 392 pages ; 25 cm.
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.
Series Title: Mathematics and its applications (Kluwer Academic Publishers)., Soviet series ;, 81.
Responsibility: by L.I. Ronkin.
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