A Mathematical Introduction to Wavelets (London Mathematical Society Student Texts, Series Number 37)

Wojtaszczyk, P.

ISBN 10: 0521578949 / ISBN 13: 9780521578943

Published by Cambridge University Press, 1997

About this Item

Seller Inventory # mon0003625242

Bibliographic Details

• Title: A Mathematical Introduction to Wavelets (London Mathematical Society Student Texts, Series Number 37)
• Publisher: Cambridge University Press
• Publication Date: 1997
• Language: English
• ISBN 10: 0521578949
• ISBN 13: 9780521578943
• Binding: paperback
• Condition: Very Good

About this title

Synopsis

This book presents a mathematical introduction to the theory of orthogonal wavelets and their uses in analyzing functions and function spaces, both in one and in several variables. Starting with a detailed and self-contained discussion of the general construction of one dimensional wavelets from multiresolution analysis, the book presents in detail the most important wavelets: spline wavelets, Meyer's wavelets and wavelets with compact support. It then moves to the corresponding multivariable theory and gives genuine multivariable examples. The author discusses wavelet decompositions in Lp spaces, Hardy spaces and Besov spaces and provides wavelet characterizations of those spaces. Also included are periodic wavelets or wavelets not associated with a multiresolution analysis. This will be an invaluable book for those wishing to learn about the mathematical foundations of wavelets.

Book Description

Starting with a detailed and selfcontained discussion of the general construction of one dimensional wavelets from multiresolution analysis, this book presents in detail the most important wavelets: spline wavelets, Meyer's wavelets and wavelets with compact support. It then moves to the corresponding multivariable theory and gives genuine multivariable examples. This will be an invaluable book for those wishing to learn about the mathematical foundations of wavelets.