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Paperback Difference Spaces and Invariant Linear Forms Book

ISBN: 3540583238

ISBN13: 9783540583233

Difference Spaces and Invariant Linear Forms

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...

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Math Mathematics Science & Math

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