TY - GEN
T1 - Toeplitz eigenvalues for Radon measures
A1 - Tyrtyshnikov,E. E.
A1 - Zamarashkin,N. L.
Y1 - 2011/11/04
N2 - It is well known that for Toeplitz matrices generated by a "sufficiently smooth" real-valued symbol, the eigenvalues behave asymptotically as the values of the symbol on uniform meshes while the singular values, even for complex-valued functions, do as those values in modulus. These facts are expressed analytically by the Szegö and Szegö-like formulas, and as is proved recently, the "smoothness" assumptions are as mild as those of L_{1}. In this paper, it is shown that the Szegö-like formulas hold true even for Toeplitz matrices generated by the so-called Radon measures.
CY - Saarbrücken
PB - Saarländische Universitäts- und Landesbibliothek
AD - Postfach 151141, 66041 Saarbrücken
UR - http://scidok.sulb.uni-saarland.de/volltexte/2011/4288
ER -