Frames and Bases An Introductory Course /

• Main Author: Christensen, Ole (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston : Birkhäuser Boston, 2008.
• Series: Applied and Numerical Harmonic Analysis
• Subjects: Mathematics.; Harmonic analysis.; Fourier analysis.; Functional analysis.; Operator theory.; Mathematical models.; Functional Analysis.; Fourier Analysis.; Mathematical Modeling and Industrial Mathematics.; Signal, Image and Speech Processing.; Abstract Harmonic Analysis.; Operator Theory.

During the last several years, frames have become increasingly popular; they have appeared in a large number of applications, and several concrete constructions of frames of various types have been presented. Most of these constructions were based on quite direct methods rather than the classical su...

Table of Contents:

• Frames in Finite-dimensional Inner Product Spaces
• Infinite-dimensional Vector Spaces and Sequences
• Bases
• Bases and their Limitations
• Frames in Hilbert Spaces
• B-splines
• Frames of Translates
• Shift-Invariant Systems
• Gabor Frames in L(R)
• Gabor Frames in l(Z)
• Wavelet Frames in L(R).