Uniform, on the Real Line,
Equiconvergence of Spectral Expansions
for the Higher-Order Differential Operators
L. V. Kritskov
Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Moscow,
119991 Russia
Correspondence to: e-mail: kritskov@cs.msu.ru
Received 19 December, 2019
Abstract—Result on the uniform, over the entire real line, equiconvergence of spectral expansions related to the self-adjoint extension of a general differential operation of any even order with coefficients from the one-dimensional Kato class, with the Fourier integral expansion is presented. The statement is based on the obtained uniform estimates for the spectral function of this operator.
Keywords: self-adjoint even-order differential operator, spectral expansion, equiconvergence
DOI: 10.1134/S1064562420020143