Results 41 to 50 of about 10,326,050 (296)
Holomorphic generalized functions
Journal of Mathematical Analysis and Applications, 1984 AbstractIn the new theory of generalized functions introduced by one author we study the generalized functions G on open sets of Cn solutions of the equation ∂G = 0. These generalized functions—which cannot be distributions except if they are usual holomorphic functions—have many properties of the usual holomorphic functions but they present also ...
J.E Galé, J. F. Colombeau
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On the representation of holomorphic functions on polyhedra [PDF]
Michigan Mathematical Journal, 2013 20 ...
Agler J, McCarthy JE, Young NJ
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Explicit black hole thermodynamics in natural variables
Journal of High Energy Physics, 2023 We consider the general thermal asymptotically flat Kerr-Newman black holes in 4d Einstein-Maxwell theory. Even though their thermodynamics has been understood for decades, the Gibbs free energy and on-shell action are only known implicitly as functions ...
Kiril Hristov
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Differential subordination, superordination results associated with Pascal distribution
AIMS Mathematics, 2023 This paper aims to study differential subordination and superordination preserving properties for certain analytic univalent functions with in the open unit disk.
K. Saritha, K. Thilagavathi
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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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Factorization of some Hardy type spaces of holomorphic functions [PDF]
, 2014 We prove that the pointwise product of two holomorphic functions of the upper half-plane, one in the Hardy space $\mathcal H^1$, the other one in its dual, belongs to a Hardy type space. Conversely, every holomorphic function in this space can be written
Bonami, Aline, Ky, Luong Dang
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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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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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