A discussion on the natural domain of Radial Toeplitz operators in Segal-Bargmann space

Ramirez, Romina Andrea; Rossini, Gerardo Luis; Marcela Sanmartino

info:eu-repo/semantics/article

Date

2012-03

Registration in:

Ramirez, Romina Andrea; Rossini, Gerardo Luis; Marcela Sanmartino; A discussion on the natural domain of Radial Toeplitz operators in Segal-Bargmann space; Academic Publications, Ltd.; International Journal of Pure and Applied Mathematics; 76; 1; 3-2012; 79-94

1311-8080

http://hdl.handle.net/11336/76540

CONICET Digital

CONICET

https://repositorioslatinoamericanos.uchile.cl/handle/2250/4333655

Author

Ramirez, Romina Andrea

Rossini, Gerardo Luis

Marcela Sanmartino

Institutions

Consejo Nacional de Investigaciones Científicas y Tecnológicas (Argentina)

Abstract

We discuss the domain of Toeplitz operators with radial symbols in the Segal-Bargmann space: we point out and correct missleading staments in previous works, establishing the conditions under which a given Toeplitz operator is unitarily equivalent to a diagonal operator in the space l^2(C) of square summable complex sequences.

Subjects

COHERENT

STATES

TOEPLITZ

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