Он а biorthogonal system of Munts functions
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2002), pp. 15-23
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Munts quazipolinomial orthogonal systems from the $\left\{x^{\gamma_k}\right\}$ and $\left\{e^{-\gamma_k x}\right\}$ ($\gamma_k$ are real numbers) have been for the first time derived in an integral representation by H.V. Badalian [1, 2]. In the case of $\left\{e^{-\gamma_k x}\right\}$ they are considered in the article as (2) which remains without change in a more general case for multiple $\gamma_k$. In this connection the importance of developing a two power sequences based biorthogonal system is that together with the sequence $\left\{e^{-\gamma_k x}\right\}$ it creates a possibility of free selection another sequence $\left\{e^{-\lambda_k x}\right\}$ simplifying the application of functions representation apparatus.
Keywords:
Quazipolinomial orthogonal systems.
@article{UZERU_2002_1_a2,
author = {J. A. Babayan},
title = {{\CYRO}{\cyrn} {\cyra} biorthogonal system of {Munts} functions},
journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
pages = {15--23},
year = {2002},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/UZERU_2002_1_a2/}
}
J. A. Babayan. Он а biorthogonal system of Munts functions. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2002), pp. 15-23. http://geodesic.mathdoc.fr/item/UZERU_2002_1_a2/