Discrete Unique Continuation on Simplex

Linjun Li

For integers $N\ge 0$ and $n\ge 2$, let \[ Δ_N^{(n)} =\left\{α\in\mathbb Z_{\ge 0}^n: α_1+\cdots+α_n=N\right\}. \] We formulate a discrete unique-continuation problem on this lattice…