AMS/IP Studies in Advanced Mathematics 2002; 326 pp; softcover Volume: 25 ISBN10: 0821829912 ISBN13: 9780821829912 List Price: US$68 Member Price: US$54.40 Order Code: AMSIP/25
 Wavelet analysis has been one of the major research directions in science in the last decade. More and more mathematicians and scientists join this exciting research area. Certainly, wavelet analysis has had a great impact in areas such as approximation theory, harmonic analysis, and scientific computation. More importantly, wavelet analysis has shown great potential in applications to information technology such as signal processing, image processing, and computer graphics. China has played a significant role in this development of wavelet analysis as evidenced by many fruitful theoretical results and practical applications. A conference on wavelet analysis and its applications was organized to exchange ideas and results with international research groups at Zhongshan University (Guangzhou, China). This volume contains the proceedings from that conference. Comprised here are selected papers from the conference, covering a wide range of research topics of current interest. Many significant results are included in the study of refinement equations and refinable functions, properties and construction of wavelets, spline wavelets, multiwavelets, wavelet packets, shiftinvariant spaces, approximation schemes and subdivision algorithms, and tilings. Several papers also focus on applications of wavelets to numerical solutions of partial differential equations and integral equations, image processing and facial recognition, computer vision, and feature extraction from data. Titles in this series are copublished with International Press of Boston, Inc., Cambridge, MA. Readership Graduate students and research mathematicians interested in wavelets and applications. Table of Contents  A. Aldroubi, Q. Sun, and W.S. Tang  Nonuniform sampling in multiply generated shiftinvariant subspaces of \(L^p(\mathbb{R}^d)\)
 R. Ashino, C. Heil, M. Nagase, and R. Vaillancourt  Multiwavelets, pseudodifferential operators and microlocal analysis
 S. Basu, C. A. Micchelli, and P. Olsen  A maximum entropy criterion for feature extraction
 O. Bratteli and P. E. T. Jorgensen  Wavelet filters and infinitedimensional unitary groups
 G. J. Chae, H. O. Kim, and R. Y. Kim  On the Cohentype conditions for the stabiltiy of shifts of a refinable function
 W. Chen and W. Lin  Trigonometric Hermite wavelet and natural integral equations for Stokes problem
 D.Q. Dai  Vision, harmonic oscillator and wavelets
 T. N. T. Goodman and S. L. Lee  Some properties of refinable splines
 L. Gori and F. Pitolli  On some applications of a class of totally positive bases
 B. Han and S. D. Riemenschneider  Interpolatory biorthogonal wavelets and CBC algorithm
 D. P. Hardin and T. A. Hogan  Constructing orthogonal refinable function vectors with prescribed approximation order and smoothness
 D. Huang, Z. Wang, and Z. Zhang  On Mband wavelets having three vanishing moments
 R.Q. Jia and Q.T. Jiang  Approximation power of refinable vectors of functions
 J. Ning  Wavelet decomposition under translate
 H. O. Kim and J. K. Lim  Applications of shiftinvariant space theory to some problems of multiresolution analysis of \(L^2({\mathbb R}^d)\)
 I. Kirat and K.S. Lau  On the connectedness and classification of selfaffine tiles
 X.z. Liang and M.c. Liu  WaveletGalerkin methods for second kind integral equations
 S. Li  Convergence of cascade algorithms in \(L_p (0\leq p \leq 1)\)
 I. Ya. Novikov  Asymptotics of zeros of Bernstein polynomials that are related to modified Daubechies wavelets
 Q. Sun  Homogeneous and nonhomogeneous refinable distributions in \(F^{q,\gamma}\)
 J. Tang, S. Kawato, and J. Ohya  A wavelet transform based face recognition system and its applications
 J. Wang  Spline wavelets in numerical resolution of partial differential equations
 M. V. Wickerhauser  Basis and convergence properties of wavelet packets
 L. Yang and Y. Y. Tang  A waveletbased characterization of curves
 P. C. Yuen, G. C. Feng, J. H. Lai, and D. Q. Dai  Face processing and recognition technology
 D.X. Zhou  The \(p\)norm joint spectral radius and its applications in wavelet analysis
