Bessel sequences of exponentials on fractal measures
Abbreviated Journal Title
J. Funct. Anal.
Fractal; Iterated function system; Frame; Bessel sequence; Riesz basic; sequence; Beurling dimension; ITERATED FUNCTION SYSTEMS; MOCK FOURIER-SERIES; BEURLING DIMENSION; FRAMES; SUBSPACES; Mathematics
Jorgensen and Pedersen have proven that a certain fractal measure v has no infinite set of complex exponentials which form an orthonormal set in L(2)(nu). We prove that any fractal measure mu obtained from an affine iterated function system possesses a sequence of complex exponentials which forms a Riesz basic sequence, or more generally a Bessel sequence, in L(2)(mu) such that the frequencies have positive Beurling dimension. Published by Elsevier Inc.
Journal of Functional Analysis
"Bessel sequences of exponentials on fractal measures" (2011). Faculty Bibliography 2010s. 1268.