Componentwise uniform equiconvergence of expansions in root vector functions of the Dirac operator with the trigonometric expansion

We consider the one-dimensional Dirac operator on a finite interval G = ( a, b ). We analyze the uniform componentwise equiconvergence of expansions in root vector functions of this operator with the trigonometric Fourier series on a compact set. Theorems on the componentwise equiconvergence on a compact set and the componentwise localization principle are proved.