Results 21 to 30 of about 10,326,050 (296)
Green's function and anti-holomorphic dynamics on a torus [PDF]
, 2015 We give a new, simple proof of the fact recently discovered by C.-S. Lin and C.-L. Wang that the Green function of a torus has either three or five critical points, depending on the modulus of the torus. The proof uses anti-holomorphic dynamics.
Walter Bergweiler, A. Eremenko
semanticscholar +1 more source
Functions Holomorphic along Holomorphic Vector Fields [PDF]
Journal of Geometric Analysis, 2009 The main result of the paper is the following generalization of Forelli's theorem: Suppose F is a holomorphic vector field with singular point at p, such that F is linearizable at p and the matrix is diagonalizable with the eigenvalues whose ratios are positive reals.
Kim, KT, Poletsky, E, Schmalz, G
openaire +4 more sources
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
doaj +1 more source
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
semanticscholar +1 more source
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
semanticscholar +1 more source
Holomorphic Minorants of Plurisubharmonic Functions [PDF]
Functional Analysis and Its Applications, 2016 Let $u$ be a plurisubharmonic function. We prove the existence of a nonzero holomorphic function such that the logarithm of its modulus is not more than local averages of this function $u$. This is the abstract for scientific conference "Algebra, Analysis and Related Problems of Mathematical Modeling" (Vladikavkaz, June 26-27, 2015) dedicated to the ...
T. Yu. Baiguskarov, Bulat N. Khabibullin
openaire +4 more sources
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
semanticscholar +1 more source
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
core +1 more source
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
doaj +1 more source
Euler-like recurrences for smallest parts functions [PDF]
, 2014 We obtain recurrences for smallest parts functions which resemble Euler's recurrence for the ordinary partition function.
In Memory Of Basil Gordon +2 more
core +1 more source