Wavelets and Other Orthogonal Systems

A bestselling text and reference in its first edition, Wavelets and Other Orthogonal Systems, Second Edition has been fully updated to reflect the 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 wavelets.

Walter, Gilbert G.; Shen, Xiaoping

Orthogonal Series. A Primer on Tempered Distributions. An Introduction to Orthogonal Wavelet Theory. Convergence and Summability of Fourier Series. Wavelets and Tempered Distributions. Orthogonal Polynomials. Other Orthogonal Systems. Pointwise Convergence of Wavelet Expansions. A Shannon Sampling Theorem in Wavelet subspaces. Extensions of Wavelet Sampling Theorems. Translation and Dilation Invariance in Orthogonal Systems. Analytic Representations via Orthogonal Series. Orthogonal Series in Statistics. Orthogonal Systems and Stochastic Processes.