Difference Spaces and Invariant Linear Forms

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November 1994



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.


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.
EAN: 9783540583233
ISBN: 3540583238
Untertitel: 1994. Auflage. Book. Sprache: Englisch.
Verlag: Springer
Erscheinungsdatum: November 1994
Seitenanzahl: 204 Seiten
Format: kartoniert
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