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Functions of omega-bounded type = basic theory /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Functions of omega-bounded type/ by Armen M. Jerbashian, Joel E. Restrepo.
Reminder of title:	basic theory /
Author:	Jerbashian, Armen M.
other author:	Restrepo, Joel E.
Published:	Cham :Springer Nature Switzerland : : 2024.,
Description:	xvii, 360 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Holomorphic functions. -
Online resource:	https://doi.org/10.1007/978-3-031-49885-5
ISBN:	9783031498855

Functions of omega-bounded type = basic theory /
Jerbashian, Armen M.

Functions of omega-bounded typebasic theory /[electronic resource] :by Armen M. Jerbashian, Joel E. Restrepo. - Cham :Springer Nature Switzerland :2024. - xvii, 360 p. :ill., digital ;24 cm. - Frontiers in mathematics,1660-8054. - Frontiers in mathematics..

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.

ISBN: 9783031498855

Standard No.: 10.1007/978-3-031-49885-5doiSubjects--Topical Terms:

700319
Holomorphic functions.

LC Class. No.: QA331

Dewey Class. No.: 515.98

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245 1 0 $a Functions of omega-bounded type $h [electronic resource] : $b basic theory / $c by Armen M. Jerbashian, Joel E. Restrepo.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Birkhäuser, $c 2024.
300 $a xvii, 360 p. : $b ill., digital ; $c 24 cm.
490 1 $a Frontiers in mathematics, $x 1660-8054
520 $a 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.
650 0 $a Holomorphic functions. $3 700319
650 1 4 $a Functions of a Complex Variable. $3 897310
650 2 4 $a Several Complex Variables and Analytic Spaces. $3 893953
650 2 4 $a Functional Analysis. $3 893943
650 2 4 $a Potential Theory. $3 893956
700 1 $a Restrepo, Joel E. $3 3713754
710 2 $a SpringerLink (Online service) $3 836513
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830 0 $a Frontiers in mathematics. $3 1535268
856 4 0 $u https://doi.org/10.1007/978-3-031-49885-5
950 $a Mathematics and Statistics (SpringerNature-11649)