精确 发表于 2025-3-28 16:10:05

http://reply.papertrans.cn/24/2314/231343/231343_41.png

秘密会议 发表于 2025-3-28 19:32:39

Christian Büning,Constantin WirthIf f ∈ .(G), G a connected open set, it is a consequence of the power series expansion for holomorphic functions that if f(z.) = 0, z. → z. ∈ G then f = 0 in G. It is also a consequence that if f.(z.) = 0 for n = 0,1,2,…, then f = 0 in G. We adopt conventions about “sets with multiplicity” that allow us to treat both cases as one.

CUR 发表于 2025-3-29 01:05:02

Erste Hilfe bei Sportverletzungen,We use the results of the previous section to derive some descriptive results on ideals of holomorphic functions.

过去分词 发表于 2025-3-29 05:47:49

Erste Hilfe bei Sportverletzungen,The Riemann Mapping Theorem implies that, as far as . can tell, all simply connected regions are the “same”. To clarify what this means we need the following notion of equivalence.

法律 发表于 2025-3-29 09:23:33

http://reply.papertrans.cn/24/2314/231343/231343_45.png

无表情 发表于 2025-3-29 11:26:36

https://doi.org/10.1007/978-3-030-67249-2This chapter is intended as a prerequisite for later chapters. In it we introduce a topology on the dual of a topological vector space. We present some of the standard results in the theory of Fréchet spaces and some additional results on topological vector spaces in general.

小教堂 发表于 2025-3-29 17:32:02

http://reply.papertrans.cn/24/2314/231343/231343_47.png

Highbrow 发表于 2025-3-29 23:18:56

http://reply.papertrans.cn/24/2314/231343/231343_48.png

OTTER 发表于 2025-3-30 02:47:32

Duality,The concept of duality is one of the most productive in analysis. One can very nearly characterize applications of functional analysis as applications of duality. Most of our goal in succeeding sections will be identifying the dual of .(G) and exploiting that identification. Toward this end, we begin with the definition.

希望 发表于 2025-3-30 07:13:57

The Hahn-Banach Theorem, and Applications,A major tool in the application of duality results (in . locally convex topological vector space) is the Hahn-Banach Theorem. We state here one standard version (there are many equivalent versions) and two important corollaries.
页: 1 2 3 4 [5] 6 7
查看完整版本: Titlebook: Complex Analysis; A Functional Analysi D. H. Luecking,L. A. Rubel Textbook 1984 Springer-Verlag New York Inc. 1984 Analysis.Funktionalanaly