Multidimensional moment problem and Schur algorithm

• Applicant: Ivan Kovalov, Ph.D.
• Subject Area: Mathematics
• Term: since 2023
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 520952250

The project aims to study the multidimensional moment problem as the interpolation problem and construct (find) the Schur algorithm for the truncated multidimensional moment problem, i.e. the goal of the project is obtaining the description of the solutions of the multidimensional moment problem by the new step-by-step algorithm. In this case, we will study multidimensional moment problem as the interpolation problem and the set of solutions will be represented in term of the continued fractions, which are similar of the J—fraction, P —fraction and S—fraction in one-dimensional case.

• DFG Programme: WBP Position