Wavelet Analysis on Local Fields of Positive Characteristic (Paperback, 1st ed. 2021)

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.

General

Imprint:	Springer Verlag, Singapore
Country of origin:	Singapore
Series:	Indian Statistical Institute Series
Release date:	December 2022
First published:	2021
Authors:	Biswaranjan Behera • Qaiser Jahan
Dimensions:	235 x 155mm (L x W)
Format:	Paperback
Pages:	333
Edition:	1st ed. 2021
ISBN-13:	978-981-16-7883-7
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
LSN:	981-16-7883-9
Barcode:	9789811678837

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