On the Uniform Convergence and Basis Property of the Means of Spectral
Expansions Corresponding to Elliptic Pseudodifferential Operators
for Continuous Functions in the Liouville and Nikol'skii–Besov Classes.
Main publications:
S. G. Kasimov, “Uniform convergence of spectral expansions corresponding to elliptic pseudodifferential operators of continuous functions in the Liouville classes”, Differential Equations, 32:10 (1996), 1368–1372; Translated from Differentsial'nye Uravneniya, 32:10 (1996), 1371–1375
S. G. Kasimov, “Smoothness of Means of the Spectral Resolutions Corresponding to Elliptic Pseudodifferential Operators in Hölder Classes”, Differential Equations, 40:2 (2004), 285–289; Translated from Differentsial'nye Uravneniya, 40:2 (2004), 268–270
S. G. Kasimov, “On the Uniform Convergence and Basis Property of the Means of Spectral Expansions Corresponding to Elliptic Pseudodifferential Operators for Continuous Functions in the Liouville and Nikol'skii–Besov Classes”, Differential Equations, 40:3 (2004), 456–460; Translated from Differentsial'nye Uravneniya, 40:3 (2004), 421–424
S. G. Kasimov, “On the Traces of Means of Spectral Expansions Corresponding to Elliptic Pseudodifferential Operators for Continuous Functions in Liouville and Nikol'skii–Besov Classes”, Differential Equations, 40:5 (2004), 731–735; Translated from Differentsial'nye Uravneniya, 40:5 (2004), 681–685
S. G. Kasimov, “On Spectral Expansions of Functions of the Nikol'skii Classes”, Differential Equations, 41:3 (2005), 433–437; Translated from Differentsial'nye Uravneniya, 41:3 (2005), 411–414