This monograph provides a specialized and rigorous study of three central results in functional analysis: the Open Mapping Theorem, the Closed Graph Theorem, and the Krein-Smulian Theorem. Husain explores these fundamental principles within the broad framework of topological vector spaces, moving beyond the classical Banach space settings to more general environments like B-complete and semi-re…
This classic monograph provides a rigorous and systematic exposition of the theory of meromorphic functions—functions that are analytic in a domain except for isolated poles. Hayman focuses heavily on the Nevanlinna theory of value distribution, exploring how these functions behave near singularities and the frequency with which they take on specific values. The text is renowned for its clari…
The text explores how the theory of analytic functions changes when moving from one complex variable to several. Unlike one-variable analysis, where functions can be extended to any domain, several variables introduce "domains of holomorphy"—specific regions where functions cannot be extended further.
1. الخلفية النظرية اللغويون القدامى مثل ابن فارس في معجم مقاييس اللغة أشاروا إلى أن كثيراً من الألفاظ الثلاثية أصلها ثنائي، مثل: (قط) أصل يدل على القطع، ومنه (قطع، قطف، قطم...). المعترضون مثل د. عبد الصبور شاهين، رأوا أن ا…