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Difference Spaces and Invariant Linear Forms




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Dettagli

Genere:Libro
Lingua: Inglese
Editore:

Springer

Pubblicazione: 11/1994
Edizione: 1994





Trama

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.




Sommario

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.










Altre Informazioni

ISBN:

9783540583233

Condizione: Nuovo
Collana: Lecture Notes in Mathematics
Dimensioni: 235 x 155 mm Ø 650 gr
Formato: Brossura
Illustration Notes:XII, 192 p.
Pagine Arabe: 192
Pagine Romane: xii


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