Abstract
In the review of the main modern positions of the moment problem, the importance of using the method of
Berezansky Yu. M. - the expansion by generalized eigenvectors - is discussed.
This approach is currently the only correct one for solving the moment problem in
different statements using the operator theory.
Key words: Classical moment problems, eigenfunction expansion, generalized eigenvector.
Full Text
Article Information
| Title | The Berezansky method in the moments problem |
| Source | Methods Funct. Anal. Topology, Vol. 31 (2025), no. 2, 106-116 |
| DOI | 10.31392/MFAT-npu26_2.2025.02 |
| Milestones | Received 15/09/2025; Revised 06/10/2025 |
| Copyright | The Author(s) 2025 (CC BY-SA) |
Authors Information
Mykola Dudkin
National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv, Ukraine
Citation Example
Mykola Dudkin, The Berezansky method in the moments problem, Methods Funct. Anal. Topology 31
(2025), no. 2, 106-116.
BibTex
@article {MFAT2104,
AUTHOR = {Mykola Dudkin},
TITLE = {The Berezansky method in the moments problem},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {31},
YEAR = {2025},
NUMBER = {2},
PAGES = {106-116},
ISSN = {1029-3531},
DOI = {10.31392/MFAT-npu26_2.2025.02},
URL = {https://mfat.imath.kiev.ua/article/?id=2104},
}
