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- catalog abstract "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.".
- catalog contributor b7220089.
- catalog created "1994.".
- catalog date "1994".
- catalog date "1994.".
- catalog dateCopyrighted "1994.".
- catalog 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.".
- catalog description "Includes bibliographical references and index.".
- catalog extent "xii, 186 p. ;".
- catalog hasFormat "Difference spaces and invariant linear forms.".
- catalog identifier "0387583238 (U.S.)".
- catalog identifier "3540583238".
- catalog isFormatOf "Difference spaces and invariant linear forms.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1586.".
- catalog isPartOf "Lecture notes in mathematics ; 1586".
- catalog issued "1994".
- catalog issued "1994.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog relation "Difference spaces and invariant linear forms.".
- catalog subject "510 s 515/.785 20".
- catalog subject "Fourier transformations.".
- catalog subject "Global analysis (Mathematics).".
- catalog subject "Harmonic analysis.".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1586 QA403".
- catalog subject "Singular integrals.".
- catalog subject "Topological Groups.".
- catalog title "Difference spaces and invariant linear forms / Rodney Victor Nillsen.".
- catalog type "text".