Functions of Completely Regular Growth
Published on 31. March 1992
Book
Hardback
XII, 392 pages
978-0-7923-1677-0 (ISBN)
Description
"Et moi9 .. ,' si j*avait su comment en revenir, je One service mathematics has rendered the n 'y serais point alle.' human race. It has put common sense back Jules Verne where it belongs. on the topmost shelf next to the dusty canister labelled 'discarded nonsense'. The series is divergent; therefore we may be Eric T. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought A highly necessary tool in a world where both feedback and nonlineari- ties abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sci- ences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One ser- vice topology has rendered mathematical physics ...'; 'One service logic has rendered computer science ...'; 'One service category theory has rendered mathematics ...'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
More details
Series
Edition
1992 ed.
Language
English
Place of publication
Dordrecht
Netherlands
Target group
Professional and scholarly
Research
Illustrations
XII, 392 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 27 mm
Weight
776 gr
ISBN-13
978-0-7923-1677-0 (9780792316770)
DOI
10.1007/978-94-011-2418-8
Schweitzer Classification
Other editions
Additional editions
L.I. Ronkin
Functions of Completely Regular Growth
Book
09/2012
Springer
€106.99
Shipment within 15-20 days
Content
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.