Four Short Courses on Harmonic Analysis Wavelets, Frames, Time-Frequency Methods, and Applications to Signal and Image Analysis /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Forster, Brigitte. (Editor), Massopust, Peter. (Editor)
• Format: Electronic
• Language: English
• Published: Boston, MA : Birkhũser Boston, 2010.
• Series: Applied and Numerical Harmonic Analysis
• Subjects: Mathematics.; Harmonic analysis.; Fourier analysis.; Abstract Harmonic Analysis.; Signal, Image and Speech Processing.; Fourier Analysis.; Theoretical, Mathematical and Computational Physics.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-8176-4891-6

This state-of-the-art textbook examines four research directions in harmonic analysis and features some of the latest applications in the field, including cosmic microwave background analysis, human cortex image denoising, and wireless communication. The work is the first one that combines spline th...

Table of Contents:

• Introduction: Mathematical Aspects of Time-Frequency Analysis
• B-Spline Generated Frames
• Continuous and Discrete Reproducing Systems That Arise from Translations. Theory and Applications of Composite Wavelets
• Wavelets on the Sphere
• Wiener's Lemma: Theme and Variations. An Introduction to Spectral Invariance and Its Applications
• References
• Index.