On a function system making a basis in a weight space

Authors

  • V. A. Zolotarev Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, Kharkov, Ukraine
  • V. N. Levchuk Poltava National Technical Yuri Kondratyuk University, Poltava, Ukraine

DOI:

Keywords:

Basis, non-selfadjoint operator, the Muckenhaupt condition

Abstract

We find necessary and sufficient conditions for systems of functions generated by a second order differential equation to form a basis. The results are applied to show that Mathieu functions make a basis.

Downloads

Published

2017-09-25

Issue

Vol. 23 No. 3 (2017)

Section

Articles

How to Cite

Zolotarev, V. A., and V. N. Levchuk. “On a Function System Making a Basis in a Weight Space”. Methods of Functional Analysis and Topology, vol. 23, no. 3, Sept. 2017, pp. 261-9, https://zen.imath.kiev.ua/index.php/mfat/article/view/669.