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＜電子ブック＞
Difference Spaces and Invariant Linear Forms / by Rodney Nillsen
(Lecture Notes in Mathematics. ISSN:16179692 ; 1586)

版	1st ed. 1994.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	1994
大きさ	XII, 192 p : online resource
著者標目	*Nillsen, Rodney author SpringerLink (Online service)
件　名	LCSH:Mathematical analysis LCSH:Topological groups LCSH:Lie groups FREE:Analysis FREE:Topological Groups and Lie Groups
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/BFb0073511

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