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

CYNIC

書目名稱Complex Analysis影響因子(影響力)




書目名稱Complex Analysis影響因子(影響力)學(xué)科排名




書目名稱Complex Analysis網(wǎng)絡(luò)公開度




書目名稱Complex Analysis網(wǎng)絡(luò)公開度學(xué)科排名




書目名稱Complex Analysis被引頻次




書目名稱Complex Analysis被引頻次學(xué)科排名




書目名稱Complex Analysis年度引用




書目名稱Complex Analysis年度引用學(xué)科排名




書目名稱Complex Analysis讀者反饋




書目名稱Complex Analysis讀者反饋學(xué)科排名

金桌活畫面

Properties of ,(G) and ,(G),, G is an open set in ? × ? = ?.. Then .(G) is defined just as in the one-variable case. (The distance in ?. 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] → ?, 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 ? 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

笨拙處理

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