E-raamat: Wavelets and Other Orthogonal Systems

Walter (mathematics, U. of Wisconsin-Milwaukee) and Shen (mathematics and computer sciences, Eastern Connecticut State U.) present wavelets in the same setting as other orthogonal systems, in particular Fourier series and orthogonal polynomials, in order to reveal their advantages and disadvantages directly. Their treatment should be accessible to graduate students in engineering and mathematics who have a command of analysis at the level of beginning graduate real and complex analysis courses. They mention no date for the first edition, but have corrected misprints and errors, and reviewed the chapter-end problems and added some to make their solution easier for students. Annotation c. Book News, Inc., Portland, OR (booknews.com)

A bestseller in its first edition, Wavelets and Other Orthogonal Systems: Second Edition has been fully updated to reflect the recent growth and development of this field, especially in the area of multiwavelets. The authors have incorporated more examples and numerous illustrations to help clarify concepts. They have also added a considerable amount of new material, including sections addressing impulse trains, an alternate approach to periodic wavelets, and positive wavelet s. Other new discussions include irregular sampling in wavelet subspaces, hybrid wavelet sampling, interpolating multiwavelets, and several new statistics topics.

With cutting-edge applications in data compression, image analysis, numerical analysis, and acoustics wavelets remain at the forefront of current research. Wavelets and Other Orthogonal Systems maintains its mathematical perspective in presenting wavelets in the same setting as other orthogonal systems, thus allowing their advantages and disadvantages to be seen more directly. Now even more student friendly, the second edition forms an outstanding text not only for graduate students in mathematics, but also for those interested in scientific and engineering applications.