Titlebook: Complex Analysis; A Functional Analysi D. H. Luecking,L. A. Rubel Textbook 1984 Springer-Verlag New York Inc. 1984 Analysis.Funktionalanaly

CYNIC

书目名称Complex Analysis影响因子(影响力)




书目名称Complex Analysis影响因子(影响力)学科排名




书目名称Complex Analysis网络公开度




书目名称Complex Analysis网络公开度学科排名




书目名称Complex Analysis被引频次




书目名称Complex Analysis被引频次学科排名




书目名称Complex Analysis年度引用




书目名称Complex Analysis年度引用学科排名




书目名称Complex Analysis读者反馈




书目名称Complex Analysis读者反馈学科排名

金桌活画面

Properties of ,(G) and ,(G),, G is an open set in ℂ × ℂ = ℂ.. Then .(G) is defined just as in the one-variable case. (The distance in ℂ. between two points (z,w) and (z’,w’) will be denoted d((z,w), (z’,w’)) = (|z - z’|. + |w - w’|.).. We also define .(G) as before, but must first define ..

orient

Camouflage

Coeval

The Cauchy Theorem,rectifiable curve γ: [0,1] → ℂ, we let ‖γ‖ denote its length, i.e. ‖γ‖ = 1 |γ′(t)|dt, so that . where ‖f‖ = sup{| f(z) |: z ∈ γ}. The reader is reminded that γ^ denotes the “physical curve”, that is the image of γ.

Aprope

Constructive Function Theory,n what follows, when we speak of a sequence of complex numbers we ordinarily mean a sequence with multiplicity, so that a function taking some value at a point of the sequence must take that value with the appropriate multiplicity. We also exclude the trivial function f ≡ 0 unless otherwise noted.

Aprope

Ring (not Algebra) Isomorphisms of ,(G),s) = .(r) + .(s) for all r, s ∈ R.. A ring isomorphism is a ring homomorphism that is one-to-one and onto. If G and G’ are two conformally equivalent domains in ℂ then there is an algebra isomorphism from .(G) to .(G’) as we saw in Chapter 5. An algebra isomorphism will be a ring isomorphism which a

altruism

嘴唇可修剪

Gap-Interpolation Theorems,nd interpolation are mixed. The idea is to take the Germay interpolation situation, where we want f(z.) = w., n = 1,2,3,… for some entire function f but now require that f have the form . where ⋀ is a given set of positive integers. For certain ⋀ (like ⋀ = ., the set of all positive integers), this

笨拙处理

Textbook 1984m the point of view of functional analysis. The main object of study is the algebra H(G) of all holomorphic functions on the open set G, with the topology on H(G) of uniform convergence on compact subsets of G. From this point of vie~, the main theorem of the theory is Theorem 9.5, which concretely