Results 21 to 30 of about 202,771,687 (141)
On Grothendieck type duality for the space of holomorphic functions of several variables [PDF]
, 2023 We describe the strong dual space $({\mathcal O} (D))^*$ for the space ${\mathcal O} (D)$ of holomorphic functions of several complex variables over a bounded Lipschitz domain $D$ with connected boundary $\partial D$ (as usual, ${\mathcal O} (D)$ is ...
Khoryakova, Yulia, Shlapunov, Alexander
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A Removability Result for Holomorphic Functions of Several Complex Variables [PDF]
, 2016 Suppose that Ω is a domain of Cn, n > 1, E ⊂ Ω closed in W, the Hausdorff measure H2n-1(E)=0, and f is holomorphic in Ω/E. It is a classical result of Besicovitch that if n = 1 and f is bounded, then f has a unique holomorphic extension to Ω. Using an
Juhani Riihentaus
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Real‐Time Conformal Maps and Parameterizations
Computer Graphics Forum, EarlyView.Abstract We present a simple algorithm to conformally map between two simple and bounded planar domains based on the concept of harmonic measure, which is a conformal invariant. With suitable preprocessing, the algorithm is fast enough to compute all possible conformal maps (having three real degrees of freedom) between the two domains in real time in
Q. Chang, C. Gotsman, K. Hormann
wiley +1 more source
Phong‐Rodrigues Extrinsic Vector‐Field Processing
Computer Graphics Forum, EarlyView.Abstract We introduce a new extrinsic discretization of tangent vector fields on triangle meshes that is continuous, with bounded derivatives that are continuous almost everywhere, supporting pointwise evaluation and integration of differential operators.
Hongyi Liu +4 more
wiley +1 more source
Extremal Problems of Some Family of Holomorphic Functions of Several Complex Variables
, 2019 Many authors, e.g., Bavrin, Jakubowski, Liczberski, Pfaltzgraff, Sitarski, Suffridge, and Stankiewicz, have discussed some families of holomorphic functions of several complex variables described by some geometrical or analytical conditions.
Edyta Trybucka
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Marchenko–Pastur Laws for Daniell Smoothed Periodograms
Journal of Time Series Analysis, EarlyView.ABSTRACT Given a sample X0,…,Xn−1$$ {X}_0,\dots, {X}_{n-1} $$ from a d$$ d $$‐dimensional stationary time series (Xt)t∈ℤ$$ {\left({X}_t\right)}_{t\in \mathbb{Z}} $$, the most commonly used estimator for the spectral density matrix F(θ)$$ F\left(\theta \right) $$ at a given frequency θ∈[0,2π)$$ \theta \in \left[0,2\pi \right) $$ is the Daniell smoothed ...
Ben Deitmar
wiley +1 more source
Generalizations of the Dirichlet Problem for Bianalytic Functions
Mathematical Methods in the Applied Sciences, Volume 49, Issue 18, Page 18586-18616, December 2026.ABSTRACT We prove the Dirichlet problem for second‐order iterated Vekua equations, a natural generalization of the Bitsadze equation, is well‐posed when the boundary condition is defined as a product of an exponential function and a polynomial on a non‐degenerate conic that is not a circumference.
William L. Blair
wiley +1 more source
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT In this work, novel electrostatic aspects of sharp cracks in brittle dielectrics are discussed using the example of an impermeable Griffith crack in an infinite linear isotropic dielectric plate. On the one hand, electrostatic force densities stemming from the Maxwell stress tensor according to Lorentz are derived mathematically, where the ...
Lennart Behlen +2 more
wiley +1 more source
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
wiley +1 more source
Long‐time asymptotics of a full soliton gas for the Camassa–Holm equation
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract We investigate the long‐time asymptotics of a full soliton gas for the Camassa–Holm equation. The analysis starts from a pure‐soliton Riemann–Hilbert (RH) problem with 2N$2N$ poles and two distinct types of residue conditions. We prove that, as N→∞$N\rightarrow \infty$, this discrete RH problem converges to a limiting soliton gas RH problem ...
Dedi Yan, Xianguo Geng, Minxin Jia
wiley +1 more source