Results 21 to 30 of about 10,386,040 (275)
Holomorphic anomaly of 2d Yang-Mills theory on a torus revisited
Journal of High Energy Physics, 2019 We study the large N ’t Hooft expansion of the chiral partition function of 2d U(N) Yang-Mills theory on a torus. There is a long-standing puzzle that no explicit holomorphic anomaly equation is known for the partition function, although it admits a ...
Kazumi Okuyama, Kazuhiro Sakai
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Symmetry reduction of holomorphic iterated function schemes and factorization of Selberg zeta functions [PDF]
, 2014 Given a holomorphic iterated function scheme with a finite symmetry group $G$, we show that the associated dynamical zeta function factorizes into symmetry-reduced analytic zeta functions that are parametrized by the unitary irreducible representations ...
D. Borthwick, T. Weich
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THE PLURIPOLAR HULL OF THE GRAPH OF A HOLOMORPHIC FUNCTION WITH POLAR SINGULARITIES [PDF]
, 2002 We study the pluripolar hull of the graph of a holomorphic function f, defined on a domain D ⊂ C outside a polar set A ⊂ D. This leads to a theorem that describes under what conditions f is nowhere extendible over A, while the graph of f over C \ A is ...
A. Edigarian, J. Wiegerinck
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Liouville Theorems and a Schwarz Lemma for Holomorphic Mappings Between Kähler Manifolds [PDF]
Communications on Pure and Applied Mathematics, 2018 We derive some consequences of the Liouville theorem for plurisubharmonic functions of L.‐F. Tam and the author. The first result provides a nonlinear version of the complex splitting theorem (which splits off a factor of ℂ isometrically from the simply ...
Lei Ni
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Algebras of holomorphic functions
Journal of Mathematical Analysis and Applications, 1987 Let \(H(U)\) denote the algebra of holomorphic functions on an open subset \(U\) of a complex locally convex Hausdorff space \(E\) and let \(H_ c(U)\) and \(H_ e(U)\) denote this algebra when supplied with the continuous and the associated equable convergence structures, respectively. One objective of this note is to show that the convergence algebras \
Sten Bjon, Mikael Lindström
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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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Holomorphic generalized functions
Journal of Mathematical Analysis and Applications, 1984 A new theory of generalized functions defined on open subsets of \({\mathbb{R}}^ n\) has been introduced by Colombeau; see his books ''New generalized functions and multiplication of distributions'' (1984; Zbl 0532.46019) and ''Elementary introduction to new generalized functions'' (1985).
J.E Galé, J. F. Colombeau
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Radius Problems for Starlike Functions Associated with the Tan Hyperbolic Function
Journal of Function Spaces, 2021 The aim of this particular article is at studying a holomorphic function f defined on the open-unit disc D
Khalil Ullah +4 more
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On an Integral-Type Operator Acting between Bloch-Type Spaces on the Unit Ball
Abstract and Applied Analysis, 2010 Let 𝔹 denote the open unit ball of ℂn. For a holomorphic self-map φ of 𝔹 and a holomorphic function g in 𝔹 with g(0)=0, we define the following integral-type operator: Iφgf(z)=∫01ℜf(φ(tz))g(tz)(dt/t), z∈𝔹.
Stevo Stević, Sei-Ichiro Ueki
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Aspects of non-commutative function theory
Concrete Operators, 2016 We discuss non commutative functions, which naturally arise when dealing with functions of more than one matrix variable.
Agler Jim, McCarthy John E.
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