
Difference Spaces and Invariant Linear Forms
Rodney Nillsen(Author)
Springer (Publisher)
Published on 25. November 1994
Book
Paperback/Softback
XII, 192 pages
978-3-540-58323-3 (ISBN)
Description
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.
More details
Series
Edition
1994 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
XII, 192 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 12 mm
Weight
318 gr
ISBN-13
978-3-540-58323-3 (9783540583233)
DOI
10.1007/BFb0073511
Schweitzer Classification
Content
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.