@article{f9e2e9d3f14b49ff9aae8486675ddb47,
title = "Analytic characterization of generalized fock space operators as two-variable entire functions with growth condition",
abstract = "Duality is established for new spaces of entire functions in two infinite dimensional variables with certain growth rates determined by Young functions. These entire functions characterize the symbols of generalized Fock space operators. As an application, a proper space is found for a solution to a normal-ordered white noise differential equation having highly singular coefficients.",
keywords = "Fock space, Infinite-dimensional holomorphy, Normal-ordered white noise differential equation, Operator symbol, Quantum white noise",
author = "Ji, {Un Cig} and Nobuaki Obata and Habib Ouerdiane",
note = "Funding Information: U.C.J. was supported in part by Korea Research Foundation Grant (KRF-2000-015-DP0016). N.O. was supported in part by JSPS Grant-in-Aid for Scienti c Research No. 12440036.",
year = "2002",
month = sep,
doi = "10.1142/S0219025702000912",
language = "English",
volume = "5",
pages = "395--407",
journal = "Infinite Dimensional Analysis, Quantum Probability and Related Topics",
issn = "0219-0257",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "3",
}