Spline functions and the theory of wavelets /

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Bibliographic Details
Imprint:Providence, R.I. : American Mathematical Society, c1999.
Description:x, 397 p. : ill. ; 26 cm.
Language:English
Series:CRM proceedings & lecture notes v. 18
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/3662491
Hidden Bibliographic Details
Other authors / contributors:Dubuc, Serge, 1939-
Deslauriers, Gilles, 1941-
ISBN:0821808753
Notes:Includes bibliographical references.
Table of Contents:
  • Spline Functions: Introduction and summary
  • Radial extensions of vertex data
  • The use of splines in the numerical solutions of differential and Volterra integral equations
  • On best error bounds for deficient splines
  • Optimal error bounds for spline interpolation on a uniform partition
  • Modelization of flexible objects using constrained optimization and B-spline surfaces
  • New control polygons for polynomial curves
  • Splines in approximation and differential operators: $(m,\ell,s)$ interpolating-spline
  • New families of B-splines on uniform meshes of the plane
  • Theory of Wavelets: Introduction and summary
  • Analysis of Hermite-interpolatory subdivision schemes
  • Some directional microlocal classes defined using wavelet transforms
  • Nonseparable biorthogonal wavelet bases of $L^2(\mathbb R^n)$
  • Local bases: Theory and applications
  • On the $L^p$-Lipschitz exponents of the scaling functions
  • Robust speech and speaker recognition using instantaneous frequencies and amplitudes obtained with wavelet-derived synchrosqueezing measures
  • Extensions of the Heisenberg group and wavelet analysis in the plane
  • Wavelets in Physics: Introduction and summary
  • Coherent states and quantization
  • Ali Wavelets in molecular and condensed-matter physics
  • Wavelets in atomic physics
  • The wavelet $\epsilon$-expansion and Hausdorff dimension
  • Modelling the coupling between small and large scales in the Kuramoto-Sivashinsky equation
  • Continuous wavelet transform analysis of one-dimensional quantum ground states
  • Oscillating singularities and fractal functions
  • Splines and Wavelets in Statistics: Introduction and summary
  • Wavelet estimators for change-point regression models
  • Wavelet thresholding for non (necessarily) Guassian noise: A preliminary report
  • Deslauries-Dubuc: Ten years after
  • Some theory for $L$-spline smoothing
  • Spectral representation and estimation for locally stationary wavelet processes