id: 01445612
dt: j
an: 01445612
au: Gabardo, Jean-Pierre
ti: Hilbert spaces of distributions having an orthogonal basis of exponentials.
so: J. Fourier Anal. Appl. 6, No.3, 277-298 (2000).
py: 2000
pu: Birkhäuser (Springer), Boston, MA
la: EN
cc: 
ut: band-limited; sampling; spectral pairs
ci: 
li: doi:10.1007/BF02511156
ab: One of the main results is a characterization of the Hilbert spaces
    consisting of distributions supported on $[0,1]$, for which $\{e^{2πi
    mx}\}_{m\in \Bbb Z}$ is a complete orthonormal system. The results are
    generalized to spectral pairs, and used to generalize Shannon’s
    sampling theorem.
rv: Ole Christensen (Lyngby)