Spline Functions and the Theory of Wavelets, Vol. 18 Book

	Preface
Pt. 1	Spline Functions
	Radial Extensions of Vertex Data	5
	The Use of Splines in the Numerical Solution of Differential and Volterra Integral Equations	15
	On Best Error Bounds for Deficient Splines	33
	Optimal Error Bounds for Spline Interpolation on a Uniform Partition	41
	Modelization of Flexible Objects Using Constrained Optimization and B-Spline Surfaces	51
	New Control Polygons for Polynomial Curves	65
	Splines in Approximation and Differential Operators: (m, l, s) Interpolating-Spline	77
	New Families of B-Splines on Uniform Meshes of the Plane	89
Pt. 2	Theory of Wavelets
	Analysis of Hermite-Interpolatory Subdivision Schemes	105
	Some Directional Microlocal Classes Defined Using Wavelet Transforms	115
	Nonseparable Biorthogonal Wavelet Bases of L[superscript 2](R[superscript n])	135
	Local Bases: Theory and Applications	153
	On the L[superscript p]-Lipschitz Exponents of the Scaling Functions	181
	Robust Speech and Speaker Recognition Using Instantaneous Frequencies and Amplitudes Obtained with Wavelet-Derived Synchrosqueezing Measures	193
	Extensions of the Heisenberg Group and Wavelet Analysis in the Plane	217
Pt. 3	Wavelets in Physics
	Coherent States and Quantization	233
	Wavelets in Molecular and Condensed-Matter Physics	245
	Wavelets in Atomic Physics	261
	The Wavelet [epsilon]-Expansion and Hausdorff Dimension	277
	Modelling the Coupling Between Small and Large Scales in the Kuramoto-Sivashinsky Equation	293
	Continuous Wavelet Transform Analysis of One Dimensional Quantum Ground States	303
	Oscillating Singularities and Fractal Functions	315
Pt. 4	Splines and Wavelets in Statistics
	Wavelet Estimators for Change-Point Regression Models	335
	Wavelet Thresholding for Non (Necessarily) Gaussian Noise: A Preliminary Report	347
	Deslauriers-Dubuc: Ten Years After	355
	Some Theory for L-Spline Smoothing	371
	Spectral Representation and Estimation for Locally Stationary Wavelet Processes	381