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math.NA2026
Spectral Properties of Infinitely Smooth Kernel Matrices in the Single Cluster Limit, with Applications to Multivariate Super-Resolution
Nuha Diab, Dmitry Batenkov
We study the spectral properties of infinitely smooth multivariate kernel matrices when the nodes form a single cluster. We show that the geometry of the nodes plays an important r…
math.NA2025
Separation-free exponential fitting with structured noise, with applications to inverse problems in parabolic PDEs
Rami Katz, Dmitry Batenkov, Giulia Giordano
We investigate the recovery of exponents and amplitudes of an exponential sum, where the exponents are the first eigenvalues of a Sturm-Lio…