Difference spaces and invariant linear forms / / Rodney Victor Nillsen

• Autore: Nillsen Rodney Victor <1945->
• Pubblicazione: Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1994]; ©1994
• Edizione: 1st ed. 1994.
• Descrizione fisica: 1 online resource (XII, 192 p.)
• Disciplina: 510
• Soggetto topico: Fourier transformations; Harmonic analysis; Singular integrals
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di bibliografia: Includes bibliographical references and indexes.
• Nota di contenuto: 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.
• Sommario/riassunto: 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.
• Titolo autorizzato: Difference spaces and invariant linear forms
• ISBN: 3-540-48652-6
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 996466593703316
• Lo trovi qui: Univ. di Salerno
• Serie: Lecture Notes in Mathematics, . 0075-8434 ; ; 1586