We consider the problem of stable recovery of sparse signals of the form from their spectral
measurements, known in a bandwidth with absolute error not exceeding. We consider the …

Let f be an analytic function on a simply-connected compact continuum E of the complex z-
plane. This might be an interval of the real line, where f might be real analytic. How can we …

Analytic continuation is ill-posed, but becomes merely ill-conditioned (although with an
infinite condition number) if it is known that the function in question is bounded in a given …

The need for analytic continuation arises frequently in the context of inverse problems.
Notwithstanding the uniqueness theorems, such problems are notoriously ill-posed without …

This paper addresses the problem of accurately estimating a function on one domain when
only its discrete samples are available on another domain. To answer this challenge, we …

Super-resolution is the art of recovering spikes from their low-pass projections. Over the last
decade specifically, several significant advancements linked with mathematical guarantees …

Inverse source problems are central to many applications in acoustics, geophysics, non-
destructive testing, and more. Traditional imaging methods suffer from the resolution limit …

Motivated by applications in magnetic resonance relaxometry, we consider the following
problem: Given samples of a function $ t\mapsto\sum_ {k= 1}^ K A_k\exp (-t\lambda_k) …

Material response of real, passive, linear, time-invariant media to external influences is
described by complex analytic functions of frequency that can always be written in terms of …

The Fourier transform truncated on [-c, c] has for a long time been analyzed as acting on L 2
(-1/b, 1/b) into L 2 (-1, 1) and its right-singular vectors are the prolate spheroidal wave …