Mi. 22.03.23, Vortrag

Thema: The inverse problem of deautoconvolution, including the multidimensional case, Referent: Prof. Dr.Bernd Hofmann (TU Chemnitz), Zeit: 14:15 Uhr, Raum: ENC-D 201

Vortrag

 

The inverse problem of deautoconvolution, including the multidimensional case

 

Mittwoch, den 22.03.23, um 14:15 Uhr,  Raum ENC-D 201

 

Referent:

  Prof. Dr.Bernd Hofmann

 

(TU Chemnitz)

 

 

Abstract: There is extensive mathematical literature on the inverse problem of deautoconvolution for the reconstruction of real-valued as well as complex-valued functions x with support in the unit interval [0, 1] from its autoconvolution y = x * x. However, little is known about the multidimensional situation. This talk summarizes mathematical results and application fields in the one-dimensional case, but the focus is on recent analytical and numerical results in two and more dimensions. In particular, there are new assertions on uniqueness or twofoldness of solutions to the ill-posed deautoconvolution problem in the multidimensional case, which are based on extensions of the Titchmarsh convolution theorem published by Lions and Mikusinski.