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- W2007272261 abstract "for all (si, ***, SN) C RN. A linear functional F on X is called translationinvariant (or simply invariant) on X if F (fs1,...,sN) = F (f) for all f C X and all (si, ***, SN) C RN. In the case where X is an invariant subspace of CA(R1) = continuous functions with compact support on R1, Jerison and Rudin [2] have characterized all the invariant functionals on X which arise from a measure on R1. They have shown that the space of such functionals on X is one-dimensional, and that if At is a measure on R1 which gives rise to an invariant functional on X, then there exists an integer p > 0, depending only on X, and a scalar X depending on A such that" @default.
- W2007272261 created "2016-06-24" @default.
- W2007272261 creator A5015737113 @default.
- W2007272261 date "1965-02-01" @default.
- W2007272261 modified "2023-09-27" @default.
- W2007272261 title "Translation-invariant functionals on functions defined in Euclidean spaces" @default.
- W2007272261 cites W1490039160 @default.
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- W2007272261 doi "https://doi.org/10.1090/s0002-9947-1965-0180851-5" @default.
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