Difference spaces and invariant linear forms
著者
書誌事項
Difference spaces and invariant linear forms
（Lecture notes in mathematics, 1586）
Springer-Verlag, c1994
- : gw
- : us
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注記
Includes bibliography (p. 175-177) and indexes of authors, subjects and symbols
内容説明・目次
内容説明
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.
目次
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.
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