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＜電子ブック＞
Functions of Completely Regular Growth / by L.I. Ronkin
(Mathematics and its Applications, Soviet Series ; 81)

版	1st ed. 1992.
出版者	(Dordrecht : Springer Netherlands : Imprint: Springer)
出版年	1992
本文言語	英語
大きさ	XII, 392 p : online resource
著者標目	*Ronkin, L.I author SpringerLink (Online service)
件　名	LCSH:Functions of complex variables LCSH:Potential theory (Mathematics) LCSH:Mathematics FREE:Functions of a Complex Variable FREE:Potential Theory FREE:Several Complex Variables and Analytic Spaces FREE:Applications of Mathematics
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-94-011-2418-8

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