Coefficient Quantization for Frames in Banach Spaces

Abstract

Let $(e_i)$ be a fundamental system of a Banach space. We consider the problem of approximating linear combinations of elements of this system by linear combinations using quantized coefficients. We will concentrate on systems which are possibly redundant. Our model for this situation will be frames in Banach spaces.

33 pages

References in corpus (1)

• Uncertainty Principles and Vector Quantization

Cited by in corpus (5)

• Operator-Valued Measures, Dilations, and the Theory of Frames
• Finite tight frames and some applications
• A characterization of Schauder frames which are near-Schauder bases
• Discrete and Continuous Welch Bounds for Banach Spaces with Applications
• Dilation theorem for p-approximate Schauder frames for separable Banach spaces