damped
发表于 2025-3-21 19:18:14
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headway
发表于 2025-3-21 21:58:31
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coddle
发表于 2025-3-22 02:05:05
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headlong
发表于 2025-3-22 05:10:16
Elementary properties of holomorphic functions,This chapter is devoted to the basic facts usually contained in a basic course on Complex analysis of one variable. The difference is that we do this for functions with values in a Banach space. Many (not all) of these results will be deduced by the Hahn-Banach theorem from the corresponding scalar fact.
费解
发表于 2025-3-22 12:32:15
Solution of , and applications,In complex analysis of several variables, the inhomogeneous Cauchy-Riemann equation is an important tool. For results in Complex analysis of one variable this equation is also important, but it is missing in many standard books.
nullify
发表于 2025-3-22 14:39:23
,The Rouché theorem for operator functions,In this chapter we generalize to finite meromorphic Fredholm operator functions the classical Rouché theorem from Complex analysis and the Smith factorization form. The proof is based on the local Smith form for matrix functions.
perimenopause
发表于 2025-3-22 19:59:55
Multiplicative cocycles (,-cocycles),Let . be a Banach algebra with unit 1, and let . be an open subgroup of the group of invertible elements of .. The Runge approximation Theorem 2.5.6 for invertible scalar functions admits the following generalization:
NEX
发表于 2025-3-23 01:04:42
Families of subspaces,Let . be a Banach space. We denote by . the set of closed subspaces of .. In this chapter we study functions with values in ..
elucidate
发表于 2025-3-23 03:03:38
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烦人
发表于 2025-3-23 08:50:12
Multiplicative cocycles with restrictions (,-cocycles),Here we present a generalization of the theory of cocycles developed in Chapter 5. We study multiplicative cocycles with .. To formulate this, it is convenient to use the language of sheaves.