“…Its mathematical analysis has been comprehensively implemented in the last decades with focus on properties of the specific forward operator, ill-posedness, and regularization based on the seminal paper [20]. In this context, we refer to [8,10,11,13,15,16,17,23] for investigations concerning the stable identification of real functions x on the unit interval [0, 1] from noisy data of its autoconvolution x * x. A new series of interdisciplinary autoconvolution studies was developed by a cooperation started in 2010 between a research group of the Max Born Institute for Nonlinear Optics and Short Pulse Spectroscopy (Berlin) led by Prof. Günter Steinmeyer and the Chemnitz research group on regularization.…”