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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Difference Spaces and Invariant Linear Forms

Difference Spaces and Invariant Linear Forms

Nillsen, Rodney

Paperback

Series: Lecture Notes in Mathematics, Book 1586

CalculusGeneral Mathematics

ISBN10: 3540583238
ISBN13: 9783540583233
Publisher: Springer Nature
Published: Nov 25 1994
Pages: 192
Weight: 0.64
Height: 0.43 Width: 6.14 Depth: 9.21
Language: English
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.

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