Wavelets and Other Orthogonal Systems With Applications

This book makes accessible to both mathematicians & engineers important elements of the theory, construction, & application of orthogonal wavelets. It is integrated with more traditional orthogonal series, such as Fourier series & orthogonal polynomials. It treats the interaction of both with generalized functions (delta functions), which have played an important part in engineering theory but whose rules are often vaguely presented. Unlike most other books that are excessively technical, this text/reference presents the basic concepts & examples in a readable form. Much of the material on wavelets has not appeared previously in book form. Applications to statistics, sampling theorems, & stochastic processes are given. In particular, the close affinity between wavelets & sampling theorems is explained & developed.Walter, Gilbert G. is the author of 'Wavelets and Other Orthogonal Systems With Applications', published 1994 under ISBN 9780849378782 and ISBN 0849378788.