How to Integrate a Polynomial over a Sphere
From MaRDI portal
Publication:2730840
DOI10.2307/2695802zbMath1046.26503OpenAlexW4244931051MaRDI QIDQ2730840
Publication date: 2001
Full work available at URL: https://doi.org/10.2307/2695802
Related Items
Optimal general Hermite-Hadamard-type inequalities in a ball and their applications in multidimensional numerical integration ⋮ Approximate \(I\)-optimal designs for polynomial models over the unit ball ⋮ Stable high-order cubature formulas for experimental data ⋮ Explicit spherical designs ⋮ Toeplitz operators on the Fock space with quasi-radial symbols ⋮ Functional norms, condition numbers and numerical algorithms in algebraic geometry ⋮ On the approximate normality of eigenfunctions of the Laplacian ⋮ Almost sure convergence in quantum spin glasses ⋮ Unnamed Item ⋮ Using pseudometrics in kernel density estimation ⋮ The Laplacian and Mean and Extreme Values ⋮ Sketching with Kerdock's Crayons: Fast Sparsifying Transforms for Arbitrary Linear Maps ⋮ A generalized polar-coordinate integration formula with applications to the study of convolution powers of complex-valued functions on \(\mathbb{Z}^d\) ⋮ Spectral interaction between universes ⋮ Manifold curvature learning from hypersurface integral invariants ⋮ A new tensorial framework for single-shell high angular resolution diffusion imaging ⋮ On an integral representation of the normalized trace of thek-th symmetric tensor power of matrices and some applications ⋮ Cayley graphs that have a quantum ergodic eigenbasis ⋮ Inapproximability of positive semidefinite permanents and quantum state tomography ⋮ Beltrami fields exhibit knots and chaos almost surely ⋮ Approximation hierarchies for copositive cone over symmetric cone and their comparison ⋮ Towards stability results for global radial basis function based quadrature formulas ⋮ Efficient unitary designs with a system-size independent number of non-Clifford gates ⋮ Local eigenvalue decomposition for embedded Riemannian manifolds ⋮ Generalised Watson distribution on the hypersphere with applications to clustering ⋮ Limiting behaviour of the generalized simplex gradient as the number of points tends to infinity on a fixed shape in \(\mathrm{IR}^n\) ⋮ An SDP method for fractional semi-infinite programming problems with SOS-convex polynomials ⋮ Critical point asymptotics for Gaussian random waves with densities of any Sobolev regularity ⋮ Low-degree approximation of random polynomials ⋮ Symmetric powers of symmetric bilinear forms, homogeneous orthogonal polynomials on the sphere and an application to compact Hyperkähler manifolds ⋮ Moments of the inverse participation ratio for the Laplacian on finite regular graphs ⋮ A Survey of Semidefinite Programming Approaches to the Generalized Problem of Moments and Their Error Analysis ⋮ Spherically symmetric multivariate beta family kernels ⋮ An asymptotically compatible meshfree quadrature rule for nonlocal problems with applications to peridynamics ⋮ An extension of Wick's theorem ⋮ Intrinsic random walks in Riemannian and sub-Riemannian geometry via volume sampling ⋮ Semidefinite approximations of conical hulls of measured sets ⋮ DC decomposition of nonconvex polynomials with algebraic techniques ⋮ On the extrema of Dirichlet's first eigenvalue of a family of punctured regular polygons in two dimensional space forms ⋮ Hypermonogenic solutions and plane waves of the Dirac operator in \(\mathbb{R}^p \times \mathbb{R}^q\) ⋮ An asymptotically compatible treatment of traction loading in linearly elastic peridynamic fracture ⋮ Optimal Depth-Dependent Distinguishability Bounds for Electrical Impedance Tomography in Arbitrary Dimension ⋮ Harmonic manifolds and the volume of tubes about curves ⋮ Efficient cubature rules ⋮ Asymptotic constants in averaged Hölder inequalities ⋮ Local conditional regularity for the Landau equation with Coulomb potential ⋮ On the improvement of the triangular Shepard method by non conformal polynomial elements
This page was built for publication: How to Integrate a Polynomial over a Sphere
