Results 41 to 50 of about 85,492 (193)
Generalized Helmholtz equation
Selecciones Matemáticas, 2019 In this paper we introduce the generalized Helmholtz equation and present explicit solutions to this generalized Helmholtz equation, these solutions depend on three holomorphic functions.
Carlos C. Riveros, Armando V. Corro
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Holomorphic harmonic analysis on complex reductive groups
, 2007 We define the holomorphic Fourier transform of holomorphic functions on complex reductive groups, prove some properties like the Fourier inversion formula, and give some applications.
An, Jinpeng, Qian, Min, Wang, Zhengdong
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On computing local monodromy and the numerical local irreducible decomposition
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards +1 more
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Coulomb branch algebras via symplectic cohomology
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract Let (M¯,ω)$(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and c1(TM¯)=0$c_1(T\bar{M})=0$. Suppose that (M¯,ω)$(\bar{M}, \omega)$ is equipped with a convex Hamiltonian G$G$‐action for some connected, compact Lie group G$G$.
Eduardo González +2 more
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Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1151-1298, May 2026.Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
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Boundary unique continuation in planar domains by conformal mapping
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract Let Ω⊂R2$\Omega \subset \mathbb {R}^2$ be a chord arc domain. We give a simple proof of the the following fact, which is commonly known to be true: a nontrivial harmonic function which vanishes continuously on a relatively open set of the boundary cannot have the norm of the gradient which vanishes on a subset of positive surface measure (arc ...
Stefano Vita
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Weighted Sub-Bergman Hilbert spaces in the unit ball of ℂn
Concrete Operators, 2020 In this note, we study defect operators in the case of holomorphic functions of the unit ball of ℂn. These operators are built from weighted Bergman kernel with a holomorphic vector.
Rososzczuk Renata, Symesak Frédéric
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BPS invariants of N = 4 gauge theory on Hirzebruch surfaces [PDF]
, 2012 . Generating functions of BPS invariants forN = 4 U(r) gauge theory on a Hirze-bruch surface with r ≤ 3 are computed. The BPS invariants provide the Betti numbers of moduli spaces of semi-stable sheaves.
Manschot, J.
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Noncritical holomorphic functions on Stein spaces
, 2015 We prove that every reduced Stein space admits a holomorphic function without critical points. Furthermore, any closed discrete subset of such a space is the critical locus of a holomorphic function.
Forstneric, Franc
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Integral holomorphic functions [PDF]
Studia Mathematica, 2004 Given a complex Banach space \(E\) with open unit ball \(B_E^\circ\), the authors call a function \(f: B_E^\circ\to {\mathbb C}\) integral if there exists a regular Borel measure \(\mu\) on the closed unit ball of \(E'\), \(B_{E'}\), endowed with the weak\(^*\) topology, such that \[ f(z)=\int_{B_{E'}}{1\over 1-\phi(z)}d\mu(\phi) \] for all \(z\) in ...
Dimant, Verónica +3 more
openaire +2 more sources