Difference Spaces and Invariant Linear Forms. Lecture Notes in Mathematics; 1586.

Nillsen, Rodney

ISBN 10: 3540583238 / ISBN 13: 9783540583233

Published by Berlin, Springer, 1994

About this Item

Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-05089 3540583238 Sprache: Englisch Gewicht in Gramm: 550.

Seller Inventory # 2491336

Bibliographic Details

• Title: Difference Spaces and Invariant Linear Forms. Lecture Notes in Mathematics; 1586.
• Publisher: Berlin, Springer
• Publication Date: 1994
• Language: English
• ISBN 10: 3540583238
• ISBN 13: 9783540583233
• Binding: Softcover
• Weight: 550 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

Synopsis

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.