Results 21 to 30 of about 10,586,623 (271)
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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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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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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Journal of Function Spaces, 2020 Let σ be a weight function such that σ/1−z2α is in the class Bp0α of Békollé weights, μ a normal weight function, ψ a holomorphic map on D, and φ a holomorphic self-map on D.
Elina Subhadarsini, Ajay K. Sharma
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Note on boundedness of the $L$-index in the direction of the composition of slice entire functions
Математичні Студії, 2022 We study a composition of two functions belonging to a class of slice holomorphic functions in the whole $n$-dimensional complex space. The slice holomorphy in the space means that for some fixed direction $\mathbf{b}\in\mathbb{C}^n\setminus\{\mathbf{0}\
V. P. Baksa +3 more
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