Parseval Frames of Serial Shifts of a Function in Spaces of Trigonometric Polynomials / A. V. Fadeeva. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2018. № 6. P. 30-36 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 239-244].
We prove the criterion of existence of a Parseval frame of a priori given dimension in the space of trigonometric
polynomials of the form
Key words: the Parseval's frame, space of trigonometric polynomials, shifts of functions.