Theory of multidimensional Delsarte – Lions transmutation operators. I

• Date: 2018
• Main Authors: Blackmore, D., Prykarpatsky, A. K., Prykarpatsky, Ya. A., Samoilenko, A. M., Блекмор, Д., Прикарпатський, А. К., Прикарпатський, Я. А., Самойленко, А. М.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2018
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1667
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We present a brief review of the original results obtained by the authors in the theory of Delsarte –Lions transmutations of multidimensional spectral differential ope rators based on the classical works by Yu. M. Berezansky, V. A. Marchenko, B. M. Levitan, and R. G. Newton, on the well-known L. D....