Authorship, sources and component terms

This reading tree was prepared using OpenAI Codex, GPT-6.1 Sol with Ultra effort. The lessons retain their original contributor and component notices. Human authors are credited at the exact freely accessible works cited in each lesson. Those works remain distinct from the course proofs and are not redistributed here.

Original text: CC0 1.0.

Original title and author notices · Component rights · CC0 terms

• Metric and topological foundations: CC0-1.0
• Banach estimates, quotient spaces and compact parameter arguments: CC0-1.0
• Fourier transforms, finite spectra and convex separation: CC0-1.0
• Polynomial and contour interfaces for stable boundary models: CC0-1.0
• Spectral measures with the original operator domain retained: CC0-1.0
• Localizing symbols with moving metrics: CC0-1.0
• Quadratic Fourier multipliers at a moving scale: CC0-1.0
• Two measuring scales, one Weyl product: CC0-1.0
• From Weyl symbols to operators and changes of coordinates: CC0-1.0
• Symbols, operators and Sobolev scales: CC0-1.0
• Positivity through a moving family of scalar probes: CC0-1.0
• When a moving symbol scale controls an operator: CC0-1.0
• When a nonnegative scalar symbol acquires a negative part: CC0-1.0
• Singularities along a submanifold and smooth boundary passage: CC0-1.0
• Detecting regularity without choosing coordinates: CC0-1.0
• Local inverses and distance-weighted elliptic estimates: CC0-1.0
• Curved weights and the directions in which support can end: CC0-1.0
• Detecting a solution from infinite-order silence at one point: CC0-1.0
• From local energy to global divergence equations: CC0-1.0
• Positive energy and vanishing at the far end of space: CC0-1.0
• Inverting mixed symbols without commuting matrix factors: CC0-1.0
• Polynomial inverse expansion with ordered matrix coefficients: CC0-1.0
• Composition of mixed symbols with two different remainder estimates: CC0-1.0
• Mixed symbols on every real two-parameter Sobolev scale: CC0-1.0
• Totally characteristic operators on the half space: CC0-1.0
• Global boundary operators, compressed wave fronts, and normal extension: CC0-1.0
• Changing an interior frame to extend an invertible matrix: CC0-1.0
• Finite defects under perturbation: CC0-1.0
• Traces that survive passage to cohomology: CC0-1.0
• Weyl kernels, operator traces, and a finite trace-class test: CC0-1.0
• Scaled Weyl parametrices and the surviving differential degree: CC0-1.0
• Radial compression and index transport for product-metric symbols: CC0-1.0
• Relative Weyl projectors and the Chern cutoff form: CC0-1.0
• From ordered Weyl errors to the exterior index form: CC0-1.0
• The matrix Weyl index in the original phase coordinates: CC0-1.0
• Alternation and the index under linear phase changes: CC0-1.0
• Symbols, finite defects, and the index on a closed manifold: CC0-1.0
• When finite defects force one-sided ellipticity: CC0-1.0
• Nonelliptic Fredholm operators on their exact adapted spaces: CC0-1.0
• Elliptic complexes, diagonal traces, and fixed points: CC0-1.0
• The Bott operator, suspension, and reduction of the index to Euclidean space: CC0-1.0
• Characteristic classes, Bott normalization, fixed points, and external index theories: CC0-1.0
• Building a local inverse from radial singularities: CC0-1.0
• Causal kernels, initial data, and short-time geometry: CC0-1.0
• A wave kernel that cancels at a curved boundary: CC0-1.0
• Stable modes and the algebra of boundary data: CC0-1.0
• Boundary energy, local inverses, and harmonic data: CC0-1.0
• Cauchy data from jumps and residues: CC0-1.0
• Solving an elliptic system from compatible boundary measurements: CC0-1.0
• Fredholm boundary problems with first-order Calderón defects: CC0-1.0
• Doubling a boundary problem and computing its index: CC0-1.0
• Boundary wave fronts for elliptic systems: CC0-1.0
• Reducing first-order boundary data to a split trace: CC0-1.0
• Reducing arbitrary-order boundary problems to first order: CC0-1.0
• Reducing arbitrary boundary data to a boundary system: CC0-1.0
• Dirichlet realizations, spectral projectors, and local extensions — CC0-1.0

• Dirichlet lifting and the full dual norm: CC0-1.0, to the extent of rights held.
• Calderón projections: trace phases, residues and boundary norms: CC0-1.0, to the extent of rights held.

The two graph-domain quotients of the local inverse: separate CC0-1.0 editorial contribution, to the extent rights exist. Component terms. All retained lesson contributor notices remain in effect.

Exact reflection and phase transport for the original operator: separate CC0-1.0 editorial contribution, to the extent rights exist. Component terms. All retained contributor notices remain in effect.