Frames associated with measurable spaces
Abbreviated Journal Title
Adv. Comput. Math.
frame; measure space; Hilbert space; analysis operator; dilation and; perturbation; representing measure; Mathematics, Applied
We present two results dealing with dilation and perturbation properties of general frames, which generalize the works of several authors in the theory of discrete frames. We also study the representing measures associated with frames. In particular, we give a necessary and sufficient condition for a representing measure to be an extreme point of the set of representing measures and show how it can be used in some concrete examples.
Advances in Computational Mathematics
"Frames associated with measurable spaces" (2003). Faculty Bibliography 2000s. 3762.