Институт математики с вычислительным центром УФИЦ РАН

Institute of Mathematics with Computing Centre - Subdivision of the Ufa Federal Research Centre of Russian Academy of Science

Article

Completeness and minimality of systems of Bessel functions

Khats' R.V., Vynnyts'kyi B.V.

10.13108/2013-5-2-131

$L^2(0;1)$

$(\sqrt{x\rho_k}J_{\nu}(x\rho_k):k\in\Bbb N)$

$\nu\ge -1/2$

$(x^{-2}\sqrt{x\rho_k}J_{3/2}(x\rho_k):k\in\Bbb N)$

$L^2((0;1);x^2 dx)$