Segal-Bargmann transforms of one-mode interacting Fock spaces associated with Gaussian and Poisson measures

Proceedings of the American Mathematical Society

Volumn 131, Issue 3, 2003, Pages 815-823

  Asai, Nobuhiro ^a,b   Kubo, Izumi ^c   Kuo, Hui Hsiung ^d  

^a INTERNATIONAL INSTITUTE FOR ADVANCED STUDIES   (Japan)

^b KYOTO UNIVERSITY   (Japan)

^c HIROSHIMA UNIVERSITY   (Japan)

^d LOUISIANA STATE UNIVERSITY   (United States)

Author keywords

Coherent vector; Decomposition of multiplication operator; Gaussian measure; Interacting Fock space; Poisson measure; Segal Bargmann transform; Space of square integrable analytic functions

Indexed keywords

EID: 0037374308     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-02-06564-4     Document Type: Conference Paper

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