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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Detalles Bibliográficos
Autores: Ramírez, Romina Andrea, Rossini, Gerardo Luis, Sanmartino, Marcela
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2012
País:Argentina
Institución:Universidad Nacional de La Plata
Repositorio:SEDICI (UNLP)
Idioma:inglés
OAI Identifier:oai:sedici.unlp.edu.ar:10915/95977
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/95977
Access Level:acceso abierto
Palabra clave:Matemáticas
Toeplitz operators
Radial symbols
Descripción
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.