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A C∞ curve of spectral non-synthesis

Published online by Cambridge University Press:  26 February 2010

Yngve Domar
Yngve Domar
Affiliation:
Department of Mathematics, University of Uppsala, Uppsala, Sweden.
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Extract

The Fourier transform f of a function is defind by

t ∊ ℝn. A(ℝn) is the isometric image of L1(ℝn) under the Fourier transformation. We extend the Fourier transformation to a mapping of ℒ(ℝn) to itself and denote by A′(ℝn) the isometric image of L∞(ℝn).

Type
Research Article
Information
Mathematika , Volume 24 , Issue 2 , December 1977 , pp. 189 - 192
Copyright
Copyright © University College London 1977

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References

1.Domar, Y.. “Sur la synthèse harmonique des courbes de R2”, C.R. Acad. Sci. Paris, 270 (1970), 875–878.Google Scholar
2.Domar, Y.. “On the spectral synthesis problem for (n – 1)-dimensional subsets of Rnn ≥ 2”, Ark. Mat., 9 (1971), 23–37.Google Scholar
3.Domar, Y.. “On spectral synthesis for curves in R3”, Math. Scand., 39 (1976), 282–294.Google Scholar
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