Results 11 to 20 of about 86,055 (204)
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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A Goursat decomposition for polyharmonic functions in Euclidean space [PDF]
, 2012 The Goursat representation formula in the complex plane, expressing a real–valued biharmonic function in terms of two holomorphic functions and their anti–holomorphic complex conjugates, is generalized to Euclidean space, expressing a real–valued ...
Brackx, Fred +3 more
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Analytic inversion of adjunction: L^2 extension theorems with gain [PDF]
, 2005 We establish new results on weighted $L^2$ extension of holomorphic top forms with values in a holomorphic line bundle, from a smooth hypersurface cut out by a holomorphic function.
McNeal, Jeffery D., Varolin, Dror
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The General Warped Solution with Conical Branes in Six-dimensional Supergravity [PDF]
, 2005 We present the general regular warped solution with 4D Minkowski spacetime in six-dimensional gauged supergravity. In this framework, we can easily embed multiple conical branes into the warped geometry by choosing an undetermined holomorphic function ...
A. Falkowski +12 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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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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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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