Cognizance
发表于 2025-3-23 10:51:22
https://doi.org/10.1007/978-3-642-97615-5dditionally preserves scalar multiplication. It follows from Proposition 5.4 that .(G) and .(G’) are isomorphic as algebras if and only if G and G’ are conformally equivalent. But a ring isomorphism can exist without conformal equivalence.
diskitis
发表于 2025-3-23 17:52:16
http://reply.papertrans.cn/24/2314/231343/231343_12.png
有限
发表于 2025-3-23 20:46:47
Christian Büning,Constantin Wirth(f) = ∫ f(z)dμ(z) when it is necessary to indicate the independent variable. “Measures” have the same properties as continuous linear functionals (which is what they are); for reinforcement, we list them here. Given μ ∈ M.(G):
Banister
发表于 2025-3-23 23:07:22
The Dual of ,(G),(f) = ∫ f(z)dμ(z) when it is necessary to indicate the independent variable. “Measures” have the same properties as continuous linear functionals (which is what they are); for reinforcement, we list them here. Given μ ∈ M.(G):
nullify
发表于 2025-3-24 06:00:46
http://reply.papertrans.cn/24/2314/231343/231343_15.png
菊花
发表于 2025-3-24 08:36:50
Interpolation,icit formula. The second is via solving infinitely many linear equations in infinitely many unknowns, the Taylor coefficients. (See and .) The third is via functional analysis—specifically the Banach-Dieudonné theorem. Kere we take the third route, obtaining in the process a functional analysis proof of Theorem 12.18.
Lineage
发表于 2025-3-24 14:32:10
0172-5939 erial, from 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 c
防锈
发表于 2025-3-24 17:11:08
http://reply.papertrans.cn/24/2314/231343/231343_18.png
愤愤不平
发表于 2025-3-24 20:08:41
http://reply.papertrans.cn/24/2314/231343/231343_19.png
拒绝
发表于 2025-3-25 01:07:57
Complex Analysis978-1-4613-8295-9Series ISSN 0172-5939 Series E-ISSN 2191-6675