Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-30T19:29:56.203Z Has data issue: false hasContentIssue false
  • English
  • Français

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.
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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
4.Kahane, J.-P.. “Sur la synthèse harmonique dans l∞”, Acad. Brasil. Ci., 32 (1960), 179–189.Google Scholar
5.Rudin, W.. Fourier analysis on groups (New York, 1962).Google Scholar