Results 31 to 40 of about 10,586,623 (271)
Abstract and Applied Analysis, 2020 In this paper, we present a survey of the inverse eigenvalue problem for a Laplacian equation based on available Cauchy data on a known part Γ0 and a homogeneous Dirichlet condition on an unknown part Γ0 of the boundary of a bounded domain, Ω⊂ℝN.
Fagueye Ndiaye
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On Local definability of holomorphic functions [PDF]
The Quarterly Journal of Mathematics, 2019 Abstract Given a collection $\mathcal {A}$ of holomorphic functions, we consider how to describe all the holomorphic functions locally definable from $\mathcal {A}$. The notion of local definability of holomorphic functions was introduced by Wilkie, who gave a complete description of all functions locally definable from $\mathcal {A}$ in
Jones, Gareth +3 more
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The role of Fourier modes in extension theorems of Hartogs-Chirka type [PDF]
, 2004 We generalize Chirka's theorem on the extension of functions holomorphic in a neighbourhood of graph(F)\cup(\partial D\times D) -- where D is the open unit disc and graph(F) denotes the graph of a continuous D-valued function F -- to the bidisc.
Bharali +6 more
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On the Distribution of Zero Sets of Holomorphic Functions [PDF]
, 2018 Let M be a subharmonic function with Riesz measure νM in a domain D in the n-dimensional complex Euclidean space ℂn, and let f be a nonzero function that is holomorphic in D, vanishes on a set Z ⊂ D, and satisfies |f| ⩽ expM on D.
B. Khabibullin, A. Rozit
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Norm preserving extensionsof bounded holomorphic functions [PDF]
Transactions of the American Mathematical Society, 2017 Let $V$ be an analytic subvariety of a domain $\Omega$ in $\mathbb{C}^{n}$. When does $V$ have the property that every bounded holomorphic function $f$ on $V$ has an extension to a bounded holomorphic function on $\Omega$ with the same norm?
L. Kosinski, J. Mccarthy
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Holomorphic Extensions of Orthogonal Projections Into Holomorphic Functions [PDF]
Proceedings of the American Mathematical Society, 1975 A condition is given which insures that the orthogonal projection of a function into the holomorphic functions is holomorphically extendible across a given boundary point.
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Weighted Composition Operators from H∞ to the Bloch Space on the Polydisc
Abstract and Applied Analysis, 2007 Let Dn be the unit polydisc of ℂn, ϕ(z)=(ϕ1(z),…,ϕn(z)) be a holomorphic self-map of Dn, and ψ(z) a holomorphic function on Dn. Let H(Dn) denote the space of all holomorphic functions with domain Dn, H∞(Dn) the space of all bounded holomorphic functions ...
Songxiao Li, Stevo Stevic
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Holomorphic Functions and polynomial ideals on Banach spaces [PDF]
, 2010 Given $\u$ a multiplicative sequence of polynomial ideals, we consider the associated algebra of holomorphic functions of bounded type, $H_{b\u}(E)$. We prove that, under very natural conditions verified by many usual classes of polynomials, the spectrum
Carando, Daniel +2 more
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Functional equation of a special Dirichlet series
International Journal of Mathematics and Mathematical Sciences, 1987 In this paper we study the special Dirichlet series L(s)=23∑n=1∞sin(2πn3)n−s, s∈C This series converges uniformly in the half-plane Re(s)>1 and thus represents a holomorphic function there.
Ibrahim A. Abou-Tair
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Mathematics, 2023 The main goal of this investigation is to obtain sharp upper bounds for Fekete-Szegö functional and the third Hankel determinant for a certain subclass SL∗u,v,α of holomorphic functions defined by the Carlson-Shaffer operator in the unit disk.
Halit Orhan +2 more
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