Open AccessMatrices related to some Fock space operators
Author(s) -
Krzysztof Rudol
Publication year - 2011
Publication title -
rocznik akademii górniczo-hutniczej im. stanisława staszica. opuscula mathematica/opuscula mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 16
eISSN - 2300-6919
pISSN - 1232-9274
DOI - 10.7494/opmath.2011.31.2.289
Subject(s) - fock space , mathematics , space (punctuation) , pure mathematics , algebra over a field , combinatorics , mathematical analysis , quantum mechanics , physics , philosophy , linguistics
Matrices of operators with respect to frames are sometimes more natural and easier to compute than the ones related to bases. The present work investigates such operators on the Segal-Bargmann space, known also as the Fock space. We consider in particular some properties of matrices related to Toeplitz and Hankel operators. The underlying frame is provided by normalised reproducing kernel functions at some lattice points