Results 51 to 60 of about 10,470,703 (228)
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
Dimer models and conformal structures
Communications on Pure and Applied Mathematics, EarlyView.Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
wiley +1 more source
Holomorphic Embedding Based Continuation Method for Identifying Multiple Power Flow Solutions
IEEE Access, 2019 In this paper, we propose an efficient continuation method for locating multiple power flow solutions. We adopt the holomorphic embedding technique to represent solution curves as holomorphic functions in the complex plane.
Dan Wu, Bin Wang
doaj +1 more source
Analytic cliffordian functions [PDF]
, 2004 In classical function theory, a function is holomorphic if and only if it is complex analytic. For higher dimensional spaces it is natural to work in the context of Clifford algebras. The structures of these algebras depend on the parity of the dimension
Annales Academi +3 more
core +1 more source
Kaehler Manifolds of Quasi-Constant Holomorphic Sectional Curvatures
, 2005 The Kaehler manifolds of quasi-constant holomorphic sectional curvatures are introduced as Kaehler manifolds with complex distribution of codimension two, whose holomorphic sectional curvature only depends on the corresponding point and the geometric ...
A. Gray +13 more
core +1 more source
Equivariant toric geometry and Euler–Maclaurin formulae
Communications on Pure and Applied Mathematics, EarlyView.Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell +3 more
wiley +1 more source
Volterra composition operators from generalized weighted weighted Bergman spaces to µ-Bloch spaces
Journal of Function Spaces and Applications, 2009 Let φ be a holomorphic self-map and g be a fixed holomorphic function on the unit ball B. The boundedness and compactness of the operator Tg,φf(z)=∫01f(φ(tz))ℜg(tz)dtt from the generalized weighted Bergman space into the µ-Bloch space are studied in this
Xiangling Zhu
doaj +1 more source
Recursive Relations for the S‐matrix of Liouville Theory
Fortschritte der Physik, EarlyView.Abstract The relation between the vertex operators of the in and out fields in Liouville theory is analyzed. This is used to derive equations for the S‐matrix, from which a recursive relation for the normal symbol of the S‐matrix for discrete center‐of‐mass momenta is obtained.
George Jorjadze +2 more
wiley +1 more source
Integral-Type Operators from Bloch-Type Spaces to QK Spaces
Abstract and Applied Analysis, 2011 The boundedness and compactness of the integral-type operator Iφ,g(n)f(z)=∫0zf(n)(φ(ζ))g(ζ)dζ, where n∈N0, φ is a holomorphic self-map of the unit disk D, and g is a holomorphic function on D, from α-Bloch spaces to QK spaces are characterized.
Stevo Stević, Ajay K. Sharma
doaj +1 more source
’t Hooft anomalies and the holomorphy of supersymmetric partition functions
Journal of High Energy Physics, 2019 We study the dependence of supersymmetric partition functions on continuous parameters for the flavor symmetry group, G F , for 2d N $$ \mathcal{N} $$ = (0, 2) and 4d N $$ \mathcal{N} $$ = 1 supersymmetric quantum field theories.
Cyril Closset +2 more
doaj +1 more source