фрейм

Affine Quantum Frames and Their Spectrum

Authors: Terekhin P. A.

The problem of coefficients quantization for polynomials is solved for affine frames. The problem about coefficients quantization for frame decomposition is considered also. The notion of a spectrum of the quantum frame is introduced. The spectrum of family of affine frames is estimated.

Frames and periodic groups of operators

Authors: Kreis S. A.

 In this paper some properties of periodic groups of operators which connected with frames theory are considered. We proof that there are no strongly continuous and uniformly bounded periodic one-parameter group of operators in Banach space which eigenvectors are cross-frame.