TY  - BOOK
AU  - Han,Bin
TI  - Framelets and Wavelets: Algorithms, Analysis, and Applications 
T2  - Applied and Numerical Harmonic Analysis,
SN  - 9783319685304
AV  - QA401-425 
U1  - 511.4 23
PY  - 2017///
CY  - Cham
PB  - Springer International Publishing, Imprint: Birkhäuser
KW  - Approximation theory
KW  - Fourier analysis
KW  - Applied mathematics
KW  - Engineering mathematics
KW  - Optical data processing
KW  - Computer-aided engineering
KW  - Approximations and Expansions
KW  - Fourier Analysis
KW  - Applications of Mathematics
KW  - Image Processing and Computer Vision
KW  - Computer-Aided Engineering (CAD, CAE) and Design
N2  - Marking a distinct departure from the perspectives of frame theory and discrete transforms, this book provides a comprehensive mathematical and algorithmic introduction to wavelet theory. As such, it can be used as either a textbook or reference guide. As a textbook for graduate mathematics students and beginning researchers, it offers detailed information on the basic theory of framelets and wavelets, complemented by self-contained elementary proofs, illustrative examples/figures, and supplementary exercises. Further, as an advanced reference guide for experienced researchers and practitioners in mathematics, physics, and engineering, the book addresses in detail a wide range of basic and advanced topics (such as multiwavelets/multiframelets in Sobolev spaces and directional framelets) in wavelet theory, together with systematic mathematical analysis, concrete algorithms, and recent developments in and applications of framelets and wavelets. Lastly, the book can also be used to teach on or study selected special topics in approximation theory, Fourier analysis, applied harmonic analysis, functional analysis, and wavelet-based signal/image processing
UR  - https://doi.org/10.1007/978-3-319-68530-4
ER  -