UID:
edocfu_9959185913102883
Format:
1 online resource (XII, 192 p.)
Edition:
1st ed. 1994.
Edition:
Online edition Springer Lecture Notes Archive ; 041142-5
ISBN:
3-540-48652-6
Series Statement:
Lecture Notes in Mathematics, 1586
Content:
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.
Note:
Bibliographic Level Mode of Issuance: Monograph
,
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.
,
English
In:
Springer eBooks
Additional Edition:
ISBN 3-540-58323-8
Language:
English
URL:
http://dx.doi.org/10.1007/BFb0073511
