Generalization of the Newman-Shapiro isometry theorem and Toeplitz operators. II

Dariusz Cichoń. "Generalization of the Newman-Shapiro isometry theorem and Toeplitz operators. II." Studia Mathematica 150.2 (2002): 175-188. <http://eudml.org/doc/285307>.

@article{DariuszCichoń2002,
abstract = {The Newman-Shapiro Isometry Theorem is proved in the case of Segal-Bargmann spaces of entire vector-valued functions (i.e. summable with respect to the Gaussian measure on ℂⁿ). The theorem is applied to find the adjoint of an unbounded Toeplitz operator $T_\{φ\}$ with φ being an operator-valued exponential polynomial.},
author = {Dariusz Cichoń},
journal = {Studia Mathematica},
keywords = {Segal-Bargmann spaces; isometry theorem; analytic Toeplitz operators; entire functions; vector-valued functions; Gaussian measure; Newman-Shapiro isometry theorem},
language = {eng},
number = {2},
pages = {175-188},
title = {Generalization of the Newman-Shapiro isometry theorem and Toeplitz operators. II},
url = {http://eudml.org/doc/285307},
volume = {150},
year = {2002},
}

TY - JOUR
AU - Dariusz Cichoń
TI - Generalization of the Newman-Shapiro isometry theorem and Toeplitz operators. II
JO - Studia Mathematica
PY - 2002
VL - 150
IS - 2
SP - 175
EP - 188
AB - The Newman-Shapiro Isometry Theorem is proved in the case of Segal-Bargmann spaces of entire vector-valued functions (i.e. summable with respect to the Gaussian measure on ℂⁿ). The theorem is applied to find the adjoint of an unbounded Toeplitz operator $T_{φ}$ with φ being an operator-valued exponential polynomial.
LA - eng
KW - Segal-Bargmann spaces; isometry theorem; analytic Toeplitz operators; entire functions; vector-valued functions; Gaussian measure; Newman-Shapiro isometry theorem
UR - http://eudml.org/doc/285307
ER -