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

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...

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Autores principales: Ramírez, Romina Andrea, Rossini, Gerardo Luis, Sanmartino, Marcela
Formato: Articulo
Lenguaje:Inglés
Publicado: 2012
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/95977
https://ri.conicet.gov.ar/11336/76540
https://ijpam.eu/contents/2012-76-1/8/index.html
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Sumario: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.