Moment matrix of self-similar measures
Electronic transactions on numerical analysis, Tome 24 (2006), pp. 79-87
We give in this paper an expression for the moment matrix associated to a self-similar measure given by an Iterated Function Systems (IFS). This expression translates the self-similarity property of a measure to its moment matrix.
Classification :
42C05, 28A80
Keywords: self-similar measures, orthogonal polynomials, moment matrix
Keywords: self-similar measures, orthogonal polynomials, moment matrix
@article{ETNA_2006__24__a4,
author = {Escribano, C. and Sastre, M.A. and Torrano, E.},
title = {Moment matrix of self-similar measures},
journal = {Electronic transactions on numerical analysis},
pages = {79--87},
year = {2006},
volume = {24},
zbl = {1160.42308},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ETNA_2006__24__a4/}
}
Escribano, C.; Sastre, M.A.; Torrano, E. Moment matrix of self-similar measures. Electronic transactions on numerical analysis, Tome 24 (2006), pp. 79-87. http://geodesic.mathdoc.fr/item/ETNA_2006__24__a4/