Pessimistic
发表于 2025-3-21 17:16:35
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善变
发表于 2025-3-22 00:05:14
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Benzodiazepines
发表于 2025-3-22 03:50:44
Infinite Products,The aim of this chapter is proving the Weierstrass Factorization Theorem for quaternionic entire functions. To do so, we introduce several tools: we consider infinite (pointwise and) regular products and we study their convergence, using the principal branch of the quaternionic logarithm.
咽下
发表于 2025-3-22 08:10:33
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织物
发表于 2025-3-22 11:36:39
Integral Representations,Regular quaternionic functions inherit a version of the Cauchy Theorem from the holomorphic complex functions. Let us begin with some notations.
Armory
发表于 2025-3-22 13:56:13
Maximum Modulus Theorem and Applications,The complex Maximum Modulus Principle has a perfect analog for regular functions, proven with the aid of the Splitting Lemma ..
CUMB
发表于 2025-3-22 19:28:43
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Noctambulant
发表于 2025-3-22 23:33:54
Generalizations,After the introduction of the notion of (slice) regular quaternionic function, the same approach was adopted over the algebra of octonions . in [.] and the Clifford algebra . in [.].
话
发表于 2025-3-23 02:09:17
Function Theory Over Non-symmetric Slice Domains,This chapter turns back to the study of regular functions . initiated in Sect. .. While Chaps. .–. focused on the case when Ω is a symmetric slice domain, we now consider slice domains in general (dropping the symmetry hypothesis).
CHIDE
发表于 2025-3-23 07:27:27
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