OAI/Geometry/RCD/Harmonic/RadialLinearCoefficient.lean
1 declarations, 0 contain sorry, 0 declared as axioms
Covector operator control from the constructed radial rows
- theorem
OAI.RegularPointCoordinates.finiteCoefficientMap_relative_boundline 16Source documentation
The covector operator uses the transpose of the matrix acting on coordinate values. A dimension factor suffices to transport its norm estimate, without making any symmetry assumption on the radial matrix.
theorem finiteCoefficientMap_relative_bound {n : ℕ} (N : Euclidean n ≃L[ℝ] Euclidean n) (coeff : Fin n → Euclidean n) {epsilon : ℝ} (hepsilon : 0 ≤ epsilon) (hbound : ‖Matrix.toEuclideanCLM (n := Fin n) (𝕜 := ℝ) …Mentions: OAI.RegularPointCoordinates.Euclidean