Fundamental Papers in Wavelet Theory
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A01=Christopher Heil
A01=David F. Walnut
Author_Christopher Heil
Author_David F. Walnut
Bessel function
Biorthogonal wavelet
Cascade algorithm
Category=PBK
Cauchy-Riemann equations
Characteristic function (probability theory)
Coefficient
Continuous function (set theory)
Continuous wavelet transform
Determinant
Differential equation
Dimension
Dirichlet kernel
Discrete wavelet transform
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Equation
Fourier series
Fractal dimension
Frequency domain
Fundamental solution
Fundamental theorem
Gabor wavelet
Haar wavelet
Hardy space
Harmonic analysis
Heisenberg group
Hilbert basis
Hilbert space
Hilbert transform
Holomorphic function
Identity matrix
Information theory
Integral transform
Interpolation theorem
Laplace transform
Linear differential equation
Martingale (probability theory)
Mathematical induction
Mathematical optimization
Mathematical problem
Multiresolution analysis
Operator (physics)
Operator algebra
Operator theory
Optimization problem
Orthogonalization
Orthonormal basis
Phase space
Potential theory
Projection (linear algebra)
Prolate spheroidal wave function
Quantization (signal processing)
Quantum signal processing
Representation theory
Riemannian manifold
Scientific notation
Set of uniqueness
Signal processing
Signal reconstruction
Singularity spectrum
Special case
Spline (mathematics)
Sturm-Liouville theory
Tensor product
Theorem
Theory
Transfer function
Translation operator (quantum mechanics)
Von Neumann algebra
Walsh function
Wavelet
Wavelet transform
Product details
- ISBN 9780691127057
- Weight: 2013g
- Dimensions: 216 x 267mm
- Publication Date: 23 Jul 2006
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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This book traces the prehistory and initial development of wavelet theory, a discipline that has had a profound impact on mathematics, physics, and engineering. Interchanges between these fields during the last fifteen years have led to a number of advances in applications such as image compression, turbulence, machine vision, radar, and earthquake prediction. This book contains the seminal papers that presented the ideas from which wavelet theory evolved, as well as those major papers that developed the theory into its current form. These papers originated in a variety of journals from different disciplines, making it difficult for the researcher to obtain a complete view of wavelet theory and its origins. Additionally, some of the most significant papers have heretofore been available only in French or German. Heil and Walnut bring together these documents in a book that allows researchers a complete view of wavelet theory's origins and development.
Chris Heil is Professor of Mathematics at the Georgia Institute of Technology. His research interests are in harmonic analysis, especially time-frequency and time-scale methods and their applications. David Walnut is Professor of Mathematics at George Mason University. His research interests are also in harmonic analysis, especially sampling theory, Radon transforms, and tomography. He is the author of "Introduction to Wavelet Analysis". Ingrid Daubechies is the author of "Ten Lectures on Wavelets", which won the American Mathematical Society's 1994 Leroy P. Steele Prize for exposition.
