Wavelet Analysis On Local Fields Of Positive Characteristic

Download or read book Wavelet Analysis on Local Fields of Positive Characteristic written by Biswaranjan Behera and published by Springer Nature. This book was released on 2022-01-01 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the theory of wavelets on local fields of positive characteristic. The discussion starts with a thorough introduction to topological groups and local fields. It then provides a proof of the existence and uniqueness of Haar measures on locally compact groups. It later gives several examples of locally compact groups and describes their Haar measures. The book focuses on multiresolution analysis and wavelets on a local field of positive characteristic. It provides characterizations of various functions associated with wavelet analysis such as scaling functions, wavelets, MRA-wavelets and low-pass filters. Many other concepts which are discussed in details are biorthogonal wavelets, wavelet packets, affine and quasi-affine frames, MSF multiwavelets, multiwavelet sets, generalized scaling sets, scaling sets, unconditional basis properties of wavelets and shift invariant spaces.