Functions of Omega-Bounded Type: Basic Theory

Jerbashian, Armen M., Restrepo, Joel E.

Functions of Omega-Bounded Type: Basic Theory
  • 出版商: Birkhauser Boston
  • 出版日期: 2024-02-28
  • 售價: $2,460
  • 貴賓價: 9.5 折 $2,337
  • 語言: 英文
  • 頁數: 360
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 3031498844
  • ISBN-13: 9783031498848

    • 下單後立即進貨 (約1週~2週)

商品描述

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.

商品描述(中文翻譯)

這本書介紹了在單位圓盤、半平面和有限複數平面中，依賴於函數權重 ω 並允許函數在定義域邊界附近以任意速率增長的函數的空間 Apω 的基本結果。這本書延續並在很大程度上改進了 M.M. Djrbashian 在1945年提出的函數在單位圓盤中全純的空間 Apα 的理論，該理論的詳細和補充版本的英文翻譯（1948年）在本書的附錄中提供。此外，本書還將 M.M. Djrbashian 在1945-1948年和1966-1975年提出的兩個函數在單位圓盤中全純的因子分解理論擴展為在單位圓盤和半平面中的 delta-次調和函數類。這本書對廣大讀者具有實用價值，對於碩士、博士生和博士後研究員來說，它可以作為擴大他們的知識和分析方法的良好手冊，同時也是科學家擴展研究領域的有用資源。

作者簡介

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.

作者簡介(中文翻譯)

Armen M. Jerbashian是亞美尼亞國家科學院數學研究所的研究員。他以他的專著《半平面中的a-有界型函數》（Springer，2005）和在Nevanlinna-Djrbashian理論和相關主題領域中的獨特成果而聞名於專家界。他曾參加過多個國際會議、研討會和其他相關活動，並參與其中一些的組織工作。他的研究興趣主要集中在復分析、正則函數的加權空間和算子理論方面。

Joel E. Restrepo是比利時根特大學根特分析和偏微分方程中心的博士後研究員。之前，他曾在俄羅斯和哈薩克斯坦的不同研究中心擔任博士後研究員。他在連接數學不同領域的各種主題上進行了數學研究。他的研究涉及復分析、算子理論、調和分析、偏微分方程等多個技術。他曾參加許多國際會議、研討會和其他相關活動，並參與了其中幾個科學項目的組織工作。2019年，他因其在加權Δ次調和函數類和位能理論方面的成就和貢獻，獲得了國際分析、應用和計算學會（ISSAC）頒發的終身會員資格。

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