Functions of Omega-Bounded Type eBook
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The book gives the basic results of the theory of the spaces Ap? of functions holomorphic in the unit disc, halfplane and in the finite complex plane, which depend on functional weights ? 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 Apa (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 ?-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.

About the book
Author
Armen M.  Jerbashian , Joel E.  Restrepo
Imprint
Birkhäuser
Collection
n.c
Publication date
2024-02-27
Pages
360 pages
Print ISBN
9783031498848
Language
English
Ebook informations
EAN PDF
9783031498855
Price
£49.99
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Copy count 3
Print count 36
File size 9994 Ko
Ce livre est accessible aux handicaps   Informations accessibility
EAN EPUB
9783031498855
Price
£49.99
Read more
Copy count 3
Print count 36
File size 37673 Ko
Ce livre est accessible aux handicaps   Informations accessibility
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Armen M. Jerbashian is a researcher at the Institute of Mathematics, National Academy of Sciences of Armenia. He is well-known to specialists by his monograph “Functions of a-Bounded Type in the Half-Plane” (Springer, 2005) and exclusive results in the field of the Nevanlinna-Djrbashian theories and related topics. He has participated in several international conferences, seminars and other related events and has been involved in the organization of some of them. His research interests are mainly in complex analysis, weighted spaces of regular functions, and operator theory.

Joel E. Restrepo is a postdoctoral researcher at the Ghent Analysis and PDE Center at Ghent University in Belgium. Previously, he was a postdoctoral researcher at different research centers in Russia and Kazakhstan. He has carried out mathematical research in a variety of topics connecting different areas of mathematics. His research links several techniques in complex analysis, operator theory, harmonic analysis, PDEs, etc. He has participated in many international conferences, seminars and other related events and has been involved in the organization of several of these scientific projects as well. In 2019, he was awarded by the International Society for Analysis, its Applications and Computation (ISSAC) with the life membership, in view of his achievements and contributions to the theory of weighted classes of delta-subharmonic functions and potential theory.

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