Difference spaces and invariant linear forms
Author(s)
Bibliographic Information
Difference spaces and invariant linear forms
（Lecture notes in mathematics, 1586）
Springer-Verlag, c1994
- : gw
- : us
Available at / 91 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
: gwL/N||LNM||1586RM950124
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
: gwdc20:515/n5992070318163
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Note
Includes bibliography (p. 175-177) and indexes of authors, subjects and symbols
Description and Table of Contents
Description
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.
Table of Contents
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.
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