Rather, a bounded linear operator is a locally bounded function.
2.
Interpreted na�vely, the Hilbert transform of a bounded function is clearly ill-defined.
3.
For any bounded function " F " on the random trajectories of the signal.
4.
A continuous bounded function on a finite interval of the real numbers will also have a minimum.
5.
When the approximation equation ( ) is satisfied for any bounded function " f " we write
6.
A bounded function that is holomorphic in the entire complex plane must be constant; this is algebraically closed.
7.
Compare this with a bounded function, for which the constant does not depend on " x ".
8.
The association of a bounded harmonic function to an ( essentially ) bounded function on the boundary is one-to-one.
9.
If so, then they are both integrable because the integral of a bounded function on a set of finite measure is definitely finite.
10.
The induced operator is bounded if and only if the coefficients of the Toeplitz matrix A are the Fourier coefficients of some essentially bounded function f.
