E3S Web Conf.
Volume 270, 2021International scientific forum on computer and energy Sciences (WFCES 2021)
|Number of page(s)||10|
|Published online||09 June 2021|
About the Legendre type operators
Ural State University of Economics, 620000 Ekaterinburg, Russia
* Corresponding author: email@example.com
The article considers Legendre type operators acting in the corresponding weight separable Hilbert spaces. The choice of these spaces is due to the fact that these operators preserve all properties of the Legendre operator acting on L2 (-1,1). In particular,1) the Legendre type operators, operating in respective weight separable Hilbert spaces, remain discrete,2) the spectrum does not change relative to the classical Legendre operator,3) the corresponding eigenfunctions are compositions of Legendre polynomials and some functions.
© The Authors, published by EDP Sciences, 2021
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