Difference Spaces and Invariant Linear Forms

By Rodney Nillsen

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, e.g., the origin. One aim is to establish connections between these spaces and differential operators, singular integral operators and wavelets. Another aim is to discuss aspects of these ideas which emphasise invariant linear forms on locally compact groups. The work primarily presents new results, but does so from a clear, accessible and unified viewpoint, which emphasises connections with related work.

• Format: Paperback
• Language: English
• ISBN: 3540583238
• ISBN13: 9783540583233
• Release Date: November 1994
• Publisher: Springer
• Length: 192 Pages
• Weight: 0.64 lbs.
• Dimensions: 0.4" x 6.1" x 9.2"

Customer Reviews

A Gold Mine of Ideas

This book is a very diffcult read. Touching on a whole lot of subjects, alternating between abstract, complicated theory and abundant, confusing detail, and displaying Crawford's usual Thesaurus-o-holic writing style, it is sure to leave you scratching your head in bewilderment a couple of times. Still, I must heartily reccomend it to anyone who is willing to make the effort. This book is very far from an intellectual "do...

A lesson in abstraction...

This book should be required reading for anyone who wants to be considered a software developer or who is interested in really making software that users love. Mr. Crawford does a great job of getting right to the heart of software development and what developers SHOULD be thinking about before they start coding.While this book will primarily appeal to the technical type, sales and marketing people could also benefit quite...

If you like books by Alan Cooper, try this....

The Art of Interactive Design was the sleeper of the year for me. I'm surprised it hasn't created more of a splash. Perhaps it's because it's published by a lesser known publisher and it doesn't fit the standard format of most usability or GUI books. It doesn't, for instance, include any code examples. It's purely about concepts and approaches.What Chris Crawford does that is so effective is to approach design issues from...

Methods and metaphors for creating algorithms

Accessibly written by experienced game developer and lecturer Chris Crawford, The Art Of Interactive Design is a superbly presented software designer's guide to crafting more practical and functional interactive software. Individual chapters aptly focus on methods and metaphors for creating algorithms, language design, practical and innovative advice for adaptable anthropomorphization, advice for avoiding common mistakes,...

A Gem of a Book

Crawford is one of those intellectual gems who is often overlooked by the swirling tumult of art-star-authors and lexicon-twisting new media theorists. His work is outstanding; and this book is no exception. I originally bought this book when it was marketed as "Understanding Interactivity" - the facelift is quite nice, but the invaluable information is still, well, invaluable. This book has the unique capability of crystalizing...