Cover Image

Deformation Quantization in White Noise Analysis

We define and present an example of a deformation quantization product on a Hida space of test functions endowed with a Wick product.

Saved in:

Bibliographic Details
Published in:	Symmetry, Integrability and Geometry: Methods and Applications
Date:	2007
ISSN:	1815-0659
Main Author:	Léandre, R.
Format:	Article
Language:	English
Published:	Інститут математики НАН України 2007
Online Access:	https://nasplib.isofts.kiev.ua/handle/123456789/147837
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:	Deformation Quantization in White Noise Analysis / R. Léandre // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 24 назв. — англ.

Institution

Digital Library of Periodicals of National Academy of Sciences of Ukraine

Similar Items

Hochschild Cohomology Theories in White Noise Analysis
by: Léandre, R.
Published: (2008)

Deformation Quantization by Moyal Star-Product and Stratonovich Chaos
by: Léandre, R., et al.
Published: (2012)

Sigma-delta modulator: loop filters and quantization noise
by: V. S. Golub
Published: (2013)

Deformation Quantization with Separation of Variables of ₂‚₄(ℂ)
by: Okuda, Taika, et al.
Published: (2025)

Extension of explicit formulas in Poissonian white noise analysis using harmonic analysis on configuration spaces
by: Kondratiev, Yu.G., et al.
Published: (2008)

White noise in some simulation problems of information signals
by: V. N. Zvaritch, et al.
Published: (2018)

White Noise in Some Simulation Problems of Information Signals
by: Zvaritch, V.N., et al.
Published: (2018)

Field-Theoretic Weyl Deformation Quantization of Enlarged Poisson Algebras
by: Honegger, R., et al.
Published: (2008)

Deformation Quantization of Poisson Structures Associated to Lie Algebroids
by: Neumaier, N., et al.
Published: (2009)

Clark-Ocone type formulas on the spaces of regular basic and generalized functions in the analysis of Levy white noise
by: Kachanovskyy, Mykola, et al.
Published: (2023)

Hopf Algebroid Twists for Deformation Quantization of Linear Poisson Structures
by: Meljanac, S., et al.
Published: (2018)

Generalized stochastic derivatives on spaces of nonregular generalized functions of Meixner white noise
by: Kachanovsky, N.A.
Published: (2008)

A Note on Multi-Oriented Graph Complexes and Deformation Quantization of Lie Bialgebroids
by: Morand, Kevin
Published: (2022)

The Lagrangian and Hamiltonian analysis of some relativistic electrodynamics models and their quantization
by: Bogolubov (Jr.), N.N., et al.
Published: (2009)

Size quantization in metal films
by: Nedorezov, S.S.
Published: (2007)

Quantization rules for dynamical systems
by: Z. Kakushadze
Published: (2016)

Quantization rules for dynamical systems
by: Z. Kakushadze
Published: (2016)

Adaptive uniform polar quantization
by: Perić, Z.H., et al.
Published: (2005)

Spin Foams and Canonical Quantization
by: Alexandrov, S., et al.
Published: (2012)

GC/MS analysis of Tremella fuciformis (White jelly mushrooms) oil
by: R. C. Ohiri
Published: (2017)

On electric fields created by quantized vortices
by: A. S. Rukin, et al.
Published: (2011)

Integrability, Quantization and Moduli Spaces of Curves
by: Rossi, P.
Published: (2017)

On a Quantization of the Classical θ-Functions
by: Brezhnev, Y.V.
Published: (2015)

Three Natural Generalizations of Fedosov Quantization
by: Bering, K.
Published: (2009)

Natural and Projectively Invariant Quantizations on Supermanifolds
by: Leuther, T., et al.
Published: (2011)

Holomorphic Quantization of Linear Field Theory in the General Boundary Formulation
by: Oeckl, R.
Published: (2012)

Boundary Liouville Theory: Hamiltonian Description and Quantization
by: Dorn, H., et al.
Published: (2007)

Quantization in magnetoresistance of strained InSb whiskers
by: A. Druzhinin, et al.
Published: (2019)

Optimal Quantization to Improve the Quality of Binary Classifiers
by: N. B. Paklin, et al.
Published: (2013)

Electromagnetic field quantization in planar absorbing heterostructures
by: V. I. Pipa
Published: (2011)

Quantization of Current in High-Inductance Contour with an Interferometer
by: S. I. Bondarenko, et al.
Published: (2013)

The electric polarization of He II by quantized vortices
by: I. N. Adamenko, et al.
Published: (2015)

Conformally Equivariant Quantization - a Complete Classification
by: Michel, Jean-Philippe
Published: (2012)

Electromagnetic field quantization in planar absorbing heterostructures
by: Pipa, V.I.
Published: (2011)

Quantization in magnetoresistance of strained InSb whiskers
by: Druzhinin, A., et al.
Published: (2019)

Short Star-Products for Filtered Quantizations, I
by: Etingof, Pavel, et al.
Published: (2020)

spo(2|2)-Equivariant Quantizations on the Supercircle S¹|²
by: Mellouli, N., et al.
Published: (2013)

Adiabatic Limit, Theta Function, and Geometric Quantization
by: Yoshida, Takahiko
Published: (2024)

Scale-Dependent Functions, Stochastic Quantization and Renormalization
by: Altaisky, M.V.
Published: (2006)

Twist Quantization of String and Hopf Algebraic Symmetry
by: Asakawa, T., et al.
Published: (2010)