Geodesic
Generalization of the Newman–Shapiro isometry theorem and Toeplitz operators. II
Dariusz Cichoń1
1 Institute of Mathematics Jagiellonian University Reymonta 4 30-059 Kraków, Poland
Studia Mathematica, Tome 150 (2002) no. 2, pp. 175-188 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 ${\mathbb C}^n$). The theorem is applied to find the adjoint of an unbounded Toeplitz operator $T_{\varphi }$ with $\varphi $ being an operator-valued exponential polynomial.
DOI : 10.4064/sm150-2-6
Keywords: newman shapiro isometry theorem proved segal bargmann spaces entire vector valued functions summable respect gaussian measure mathbb theorem applied adjoint unbounded toeplitz operator varphi varphi being operator valued exponential polynomial

Dariusz Cichoń 1

1 Institute of Mathematics Jagiellonian University Reymonta 4 30-059 Kraków, Poland 
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Dariusz Cichoń. Generalization of the Newman–Shapiro isometry theorem
and Toeplitz operators. II. Studia Mathematica, Tome 150 (2002) no. 2, pp. 175-188. doi: 10.4064/sm150-2-6

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