Geodesic
Uniform, on the real line, equiconvergence of spectral expansions for the higher-order differential operators
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 491 (2020), pp. 65-67

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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. 
@article{DANMA_2020_491_a12,
     author = {L. V. Kritskov},
     title = {Uniform, on the real line, equiconvergence of spectral expansions for the higher-order differential operators},
     journal = {Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleni\^a},
     pages = {65--67},
     publisher = {mathdoc},
     volume = {491},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DANMA_2020_491_a12/}
}
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L. V. Kritskov. Uniform, on the real line, equiconvergence of spectral expansions for the higher-order differential operators. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 491 (2020), pp. 65-67. http://geodesic.mathdoc.fr/item/DANMA_2020_491_a12/