Lecture Notes in Mathematics

Difference Spaces and Invariant Linear Forms

Authors: Nillsen, Rodney

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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.

Table of contents (5 chapters)

  • Introduction

    Nillsen, Rodney

    Pages 1-8

  • General and preparatory results

    Nillsen, Rodney

    Pages 9-43

  • Multiplication and difference spaces on R n

    Nillsen, Rodney

    Pages 44-117

  • Applications to differential and singular integral operators

    Nillsen, Rodney

    Pages 118-151

  • Results for L p spaces on general groups

    Nillsen, Rodney

    Pages 152-174

Buy this book

eBook $29.99
price for USA (gross)
  • ISBN 978-3-540-48652-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $39.99
price for USA
  • ISBN 978-3-540-58323-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Difference Spaces and Invariant Linear Forms
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1586
Copyright
1994
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-48652-7
DOI
10.1007/BFb0073511
Softcover ISBN
978-3-540-58323-3
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XII, 192
Topics