Framelets And Wavelets: Algorithms, Analysis, And Applications (applied And Numerical Harmonic Analysis)
by Bin Han /
2018 / English / PDF
10.5 MB Download
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.
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.
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.
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.
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.