Overview

Difference spaces arise by taking sums of finite or fractional differences. Linear forms which vanish identically on such a space are invariant in a corresponding sense. The difference spaces of L2 (Rn) are Hilbert spaces whose functions are characterized by the behaviour of their Fourier transforms near, for example the origin. The aim of this text is to establish connections between these spaces and differential operators, singular integral operators and wavelets. It discusses aspects of these ideas which emphasize invariant linear forms on locally compact groups. The work primarily presents new results, but does so from a unified viewpoint, which emphasises connections with related work.

Full Product Details

Author:   Rodney Nillsen
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1994 ed.
Volume:   1586
Dimensions:   Width: 15.50cm , Height: 1.00cm , Length: 23.50cm
Weight:   0.650kg
ISBN:  

9783540583233

ISBN 10:   3540583238
Pages:   192
Publication Date:   25 November 1994
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

General and preparatory results.- Multiplication and difference spaces on R n .- Applications to differential and singular integral operators.- Results for L p spaces on general groups.

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