22-24 September 2021
Alpen-Adria-Universität Klagenfurt
Europe/Vienna timezone

Infinite-dimensional inverse problems with finite measurements

23 Sep 2021, 09:00
HS 1 (Alpen-Adria-Universität Klagenfurt)

HS 1

Alpen-Adria-Universität Klagenfurt


Giovanni Alberti (University of Genova)


In this talk I will discuss uniqueness, stability and reconstruction for infinite-dimensional nonlinear inverse problems with finite measurements, under the a priori assumption that the unknown lies in, or is well-approximated by, a finite-dimensional subspace or submanifold. The methods are based on the interplay of applied harmonic analysis, in particular sampling theory and compressed sensing, and the theory of inverse problems for partial differential equations. Several examples, including the Calderón problem and scattering, will be discussed.

Primary author

Giovanni Alberti (University of Genova)

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