The Interior Inverse Scattering Problem from Backscattering Data: Spectral Comparison and Uniqueness Results K0BXT951HT

Expressions

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
Dirichlet heat kernel: bounds and vanishing	statement	lemma 2.1	arxiv
Boundary vanishing of spectral projection diagonals	statement	theorem 2.2	arxiv
Pointwise determination of the heat-kernel diagonal	statement	lemma 3.2	arxiv
Strict positivity of the Dirichlet heat kernel	statement	lemma 2.3	arxiv
Boundary behavior of the harmonic Robin function	statement	lemma 3.8	arxiv
Restriction kernels and the interior Dirichlet spectrum	statement	lemma 3.4	arxiv
Holomorphy of the kernels off the diagonal	statement	lemma 2.4	arxiv
Spectral representation of the backscattering field	statement	lemma 2.6	arxiv
Comparison of diagonal regular parts	statement	lemma 3.9	arxiv
Spectral comparison and area estimate	statement	theorem 3.5	arxiv
Visible and invisible eigenvalues	definition	definition 2.7	arxiv
Meromorphic expansion of the resolvent kernel	statement	theorem 2.5	arxiv
Single-frequency open-set uniqueness	statement	theorem 3.12	arxiv
Boundary blow-up of the diagonal regular part	statement	lemma 3.10	arxiv
Boundary crossing for unequal domains	statement	lemma 3.11	arxiv
Strict monotonicity of the heat-kernel diagonal	statement	lemma 3.3	arxiv
Visible spectrum from curve data	statement	lemma 3.1	arxiv
Nondegeneracy of harmonic measure	statement	lemma 3.7	arxiv