ANALYTIC CHARACTERIZATION OF GENERALIZED FOCK SPACE OPERATORS AS TWO-VARIABLE ENTIRE FUNCTIONS WITH GROWTH CONDITION-Reference-Cited by-同舟云学术

ANALYTIC CHARACTERIZATION OF GENERALIZED FOCK SPACE OPERATORS AS TWO-VARIABLE ENTIRE FUNCTIONS WITH GROWTH CONDITION

Published:2002-09 Issue:03 Volume:05 Page:395-407
ISSN:0219-0257
Container-title:Infinite Dimensional Analysis, Quantum Probability and Related Topics
language:en
Short-container-title:Infin. Dimens. Anal. Quantum. Probab. Relat. Top.

Author:

JI UN CIG¹,OBATA NOBUAKI²,OUERDIANE HABIB³

Affiliation:

1. Department of Mathematics, Chungbuk National University, Cheongju, 361-763, Korea

2. Graduate School of Information Sciences, Tohoku University, Sendai, 980-8579, Japan

3. Département de Mathématiques, Faculté des Sciences de Tunis, Université de Tunis El Manar, Campus Universitaire, Tunis, 1060, Tunisia

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219025702000912

Reference12 articles.

1. ROLES OF LOG-CONCAVITY, LOG-CONVEXITY, AND GROWTH ORDER IN WHITE NOISE ANALYSIS

2. General characterization theorems and intrinsic topologies in white noise analysis

3. Higher Powers of Quantum White Noises in Terms of Integral Kernel Operators

4. QUANTUM STOCHASTIC ANALYSIS VIA WHITE NOISE OPERATORS IN WEIGHTED FOCK SPACE

5. A New Class of White Noise Generalized Functions

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