We establish necessary and sufficient conditions for a system of functions generated by differential equations of the second
order to be a basis. Our method is based on the application of the Muckenhoupt condition.
Citation Example:Levchuk V. M. On conditionless bases of the kernels generated by differential equations of the
second order // Ukr. Mat. Zh. - 2017. - 69, № 3. - pp. 332-347.