Optimal adaptive computations in the Jaffard algebra and localized frames

We study the efficient numerical solution of infinite matrix equations Au = f for a matrix A in the Jaffard algebra. These matrices appear naturally via frame discretizations in many applications such as Gabor analysis, sampling theory, and quasi-diagonalization of pseudo-differential operators in the weighted Sj

• Type: Journal
• Year: 2010
• Where: JAT
• Authors: Stephan Dahlke, Massimo Fornasier, Karlheinz Gröchenig
• Keywords: Banach Algebra Properties, Jaffard Algebra, JAT 2010, Localized Frames