Mean Oscillation of Functions and the Paley{wiener Space

  title={Mean Oscillation of Functions and the Paley\{wiener Space},
  author={Rodolfo H. Torres},
The oscillatory behavior of functions with compactly supported Fourier transform is characterized in a quantiied way using various function spaces. In particular, the results in this paper show that the oscillations of a function at large scale are comparable to the oscillations of its samples on an appropriate discrete set of points. Several open questions… CONTINUE READING