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Field name	Details
Dewey Class	515
Title	Difference Spaces and Invariant Linear Forms ([EBook] /) / by Rodney Nillsen.
Author	Nillsen, Rodney
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1994.
Physical Details	XII, 192 p. : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 1586
ISBN	9783540486527
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/BFb0073511
Links to Related Works	Subject References: Analysis . Analysis (Mathematics) . Lie groups . Mathematical analysis . Mathematics . Topological groups . Topological groups, Lie groups . Authors: Nillsen, Rodney . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 515 .

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Difference Spaces and Invariant Linear Forms

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