| Explicit Lower Bound on the Leakage Along the Tail | statement | theorem 2.34 | arxiv |
| Envelopes of Prescribed Shape | statement | lemma E.2 | arxiv |
| Lebesgue Constant | definition | definition 2.5 | arxiv |
| Continuous Green's Functions and Inverse Norms | statement | proposition A.2 | arxiv |
| Compounding of the Frame Instability | statement | theorem 8.1 | arxiv |
| The Dirichlet Problem on a Box | statement | lemma A.3 | arxiv |
| Envelopes of Bounded Densities | statement | lemma D.3 | arxiv |
| Exact Representation of the Interpolatory Solution | statement | theorem 2.8 | arxiv |
| Exponential Ill-Conditioning | statement | corollary 2.15 | arxiv |
| Lower Bound at the Nodal Level | statement | corollary 6.6 | arxiv |
| The One-Dimensional Dirichlet Problem | statement | lemma A.1 | arxiv |
| Geometric Convergence Forces Exponential Instability | statement | proposition 2.10 | arxiv |
| Dimensions | statement | lemma 3.1 | arxiv |
| Discrete Potentials | statement | lemma B.2 | arxiv |
| Equilibrium Problem of the Tail | definition | definition 2.22 | arxiv |
| Two Forms of a Sharp Power Law | statement | lemma 6.5 | arxiv |
| Exponential Decay of the Smallest Singular Value | statement | lemma 4.4 | arxiv |
| Configurations Refute the Sharp Power Law | statement | corollary 6.7 | arxiv |
| Leakage and Restricted Marcinkiewicz--Zygmund Constants | definition | definition 2.6 | arxiv |
| Norm of the Test Function | statement | lemma D.5 | arxiv |
| The Node Potential in Closed Form | statement | lemma 4.1 | arxiv |
| The Start of the Tail | statement | theorem 2.30 | arxiv |
| Monotonicity of the Rates | statement | lemma 6.10 | arxiv |
| A Lower Bound Through a Test Function | statement | lemma D.6 | arxiv |
| Unisolvence Criterion for the Poisson Operator | statement | lemma 3.2 | arxiv |
| The Self-Dual Extension | statement | corollary 2.28 | arxiv |
| Competitors of Moderate Coefficient Norm in the Test Space | statement | theorem 2.20 | arxiv |
| Trial Space with Boundary Conditions, Test Space | definition | definition 2.3 | arxiv |
| Certified Configurations on Both Sides of the Critical Extension | statement | corollary 9.2 | arxiv |
| Lattice Products | statement | lemma 6.3 | arxiv |
| Piecewise-Uniform Configuration | definition | definition 2.33 | arxiv |
| Discretization of the Equilibrium Measure | statement | lemma 6.11 | arxiv |
| Modulus of Continuity of $U_\omega$ | statement | lemma B.4 | arxiv |
| The Boundary Layer | statement | lemma E.1 | arxiv |
| A Priori Bounds on the Two Constants | statement | proposition 2.18 | arxiv |
| The Tail Law | statement | theorem 2.24 | arxiv |
| Norms of the Lagrange Functions of $V_N$ | statement | proposition 4.3 | arxiv |
| Certified Levels of the Sharp Exponent | statement | corollary 6.8 | arxiv |
| Sharpness of the Explicit Bounds | statement | corollary 2.37 | arxiv |
| Leakage Exponent at the End of the Spectrum | statement | corollary 2.13 | arxiv |
| Unisolvence in the Trial Frame | statement | lemma 4.2 | arxiv |
| Growth Rate of the Test-Space Lebesgue Constant | statement | corollary 2.26 | arxiv |
| Modal Phase Structure of the Test Space | statement | lemma 3.3 | arxiv |
| Growth Rates of the Lebesgue Constant and of the Inverse Smallest Singular Value | statement | theorem 2.12 | arxiv |
| Duality of the Exponent | statement | proposition 2.14 | arxiv |
| Exact Error Identity and Lebesgue Bound | statement | corollary 2.9 | arxiv |
| Properties of the Tail Law | statement | proposition 2.25 | arxiv |
| Riemann Sums with a Logarithmic Singularity | statement | lemma B.1 | arxiv |
| Interpolation Configuration | definition | definition 2.35 | arxiv |
| Endpoint Exponent and Extension Fraction | statement | proposition 2.29 | arxiv |
| The Layer and the Gap | statement | corollary 2.32 | arxiv |
| Column Norms | statement | lemma C.2 | arxiv |
| Nodal Norms of Shifted Sines | statement | lemma C.1 | arxiv |
| Lagrange Polynomials | statement | lemma B.3 | arxiv |
| Elementary Properties of the Clausen Function | statement | lemma A.4 | arxiv |
| Regularized Least Squares, a Discrete Counterpart | statement | lemma A.5 | arxiv |
| Error of Regularized Oversampled Collocation | statement | theorem 7.2 | arxiv |
| Coefficient Norm | statement | lemma D.4 | arxiv |
| Exact Arithmetic, Regularized Solutions, and Backward-Stable Solvers | statement | corollary 2.17 | arxiv |
| Unisolvence for the Poisson Operator | statement | proposition 2.11 | arxiv |
| Lebesgue-Type Bounds on the Two Constants | statement | proposition 2.19 | arxiv |
| Polynomial Form of the Frame | statement | lemma 2.7 | arxiv |
| Modulus of Continuity of the Envelope | statement | lemma D.2 | arxiv |
| An Extremal Problem for the Tail | statement | proposition 6.9 | arxiv |
| Computed Solution as Exact Collocation of Perturbed Data | statement | proposition 5.1 | arxiv |
| Bound Uniform in the Conditioning for Backward-Stable Solvers | statement | corollary 2.21 | arxiv |
| Discrete Green's Function | statement | corollary 3.7 | arxiv |
| Two-Constant Bound | statement | theorem 2.16 | arxiv |
| Interpolatory and Oversampled Regimes | statement | corollary 7.3 | arxiv |
| The Equilibrium Measure of the Tail | statement | proposition 2.23 | arxiv |
| Lagrange Polynomials of an Interpolation Configuration | statement | lemma D.7 | arxiv |
| Exact Representation in $d$ Dimensions | statement | theorem 8.2 | arxiv |
| The Critical Extension | statement | corollary 2.31 | arxiv |
| A Minimum Principle for Potentials | statement | lemma 6.2 | arxiv |
| Boundary Correction | statement | lemma 6.4 | arxiv |
| Interpolatory Collocation | definition | definition 2.2 | arxiv |
| Chebyshev Expansion of the Envelope | statement | lemma 6.1 | arxiv |
| Laplacian Eigenbasis on the Extended Domain | definition | definition 2.1 | arxiv |
| Marcinkiewicz--Zygmund Constant of the Test Space | definition | definition 7.1 | arxiv |
| Riemann Sums on an Arc | statement | lemma D.1 | arxiv |
| Upper Bound Along the Tail by Lagrange Interpolation | statement | theorem 2.36 | arxiv |
| Duality of the Tail Law | statement | theorem 2.27 | arxiv |
| Chebyshev Polynomials on Bernstein Ellipses | statement | lemma 5.2 | arxiv |
