---

＜電子ブック＞
Functions of Omega-Bounded Type : Basic Theory / by Armen M. Jerbashian, Joel E. Restrepo
(Frontiers in Mathematics. ISSN:16608054)

版	1st ed. 2024.
出版者	(Cham : Springer Nature Switzerland : Imprint: Birkhäuser)
出版年	2024
本文言語	英語
大きさ	XVII, 360 p : online resource
著者標目	*Jerbashian, Armen M author Restrepo, Joel E author SpringerLink (Online service)
件　名	LCSH:Functions of complex variables LCSH:Functional analysis LCSH:Potential theory (Mathematics) FREE:Functions of a Complex Variable FREE:Several Complex Variables and Analytic Spaces FREE:Functional Analysis FREE:Potential Theory
一般注記	The book gives the basic results of the theory of the spaces Apω of functions holomorphic in the unit disc, halfplane and in the finite complex plane, which depend on functional weights ω permitting any rate of growth of a function near the boundary of the domain. This continues and essentially improves M.M. Djrbashian's theory of spaces Apα (1945) of functions holomorphic in the unit disc, the English translation of the detailed and complemented version of which (1948) is given in Addendum to the book. Besides, the book gives the ω-extensions of M. M. Djrbashian's two factorization theories of functions meromorphic in the unit disc of 1945-1948 and 1966-1975 to classes of functions delta-subharmonic in the unit disc and in the half-plane. The book can be useful for a wide range of readers. It can be a good handbook for Master, PhD students and Postdoctoral Researchers for enlarging their knowledge and analytical methods, as well as a useful resource for scientists who want to extend their investigation fields HTTP:URL=https://doi.org/10.1007/978-3-031-49885-5

 類似資料