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  • Book
  • © 1994

Difference Spaces and Invariant Linear Forms

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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1586)

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Table of contents (5 chapters)

  1. Front Matter

    Pages I-XII
  2. Introduction

    • Rodney Nillsen
    Pages 1-8
  3. General and preparatory results

    • Rodney Nillsen
    Pages 9-43
  4. Results for L p spaces on general groups

    • Rodney Nillsen
    Pages 152-174
  5. Back Matter

    Pages 175-188

About this book

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.

Keywords

  • Analysis
  • Differential Operators
  • Harmonie
  • Hilbert space
  • Invariant Linear Forms

Bibliographic Information

  • Book Title: Difference Spaces and Invariant Linear Forms

  • Authors: Rodney Nillsen

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0073511

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1994

  • Softcover ISBN: 978-3-540-58323-3Published: 25 November 1994

  • eBook ISBN: 978-3-540-48652-7Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XII, 192

  • Topics: Analysis, Topological Groups and Lie Groups

Buying options

eBook USD 29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions