Characterization of S-transform for general construction of infinite-dimensional distributions-Reference-Cited by-同舟云学术

Characterization of S-transform for general construction of infinite-dimensional distributions

Published:2019-06 Issue:02 Volume:22 Page:1950015
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:

Accardi Luigi¹,Ji Un Cig²,Saitô Kimiaki³

Affiliation:

1. Centro Vito Volterra, Università di Roma “Tor Vergata”, 00133 Via Columbia 2, Roma, Italy

2. Department of Mathematics, Institute for Industrial and Applied Mathematics, Chungbuk National University, Cheongju 28644, Korea

3. Department of Mathematics, Meijo University, Nagoya 468, Japan

Abstract

We study the analytic characterization of [Formula: see text]-transform in a general setting of white noise functionals. Then, the measurability condition of the norms generating the underlining locally convex space is a necessary and sufficient condition for the analytic characterization of the [Formula: see text]-transform in terms of analytic and growth conditions.

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/S0219025719500152

Reference42 articles.

1. White noise generalizations of the Clark-Haussmann-Ocone theorem with application to mathematical finance

2. Analytic characterizations of infinite dimensional distributions

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

4. A quantum nonadapted Ito formula and stochastic analysis in Fock scale

5. On the martingale property for generalized stochastic processes