Functions of Completely Regular Growth

L.I. Ronkin (Autor)

Buch | Softcover

392 Seiten

2012 | Softcover reprint of the original 1st ed. 1992
Springer (Verlag)
978-94-010-5750-9 (ISBN)

Artikel merken

"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.

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.

Reihe/Serie	Mathematics and its Applications ; 81
Reihe/Serie	Mathematics and its Applications ; 81
Zusatzinfo	XII, 392 p.
Verlagsort	Dordrecht
Sprache	englisch
Maße	160 x 240 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
ISBN-10	94-010-5750-8 / 9401057508
ISBN-13	978-94-010-5750-9 / 9789401057509
Zustand	Neuware