Buchumschlag

Finite absolute continuity of Gaussian measures on infinite-dimensional spaces

We study the notion of finite absolute continuity for measures on infinite-dimensional spaces. For Gaussian product measures on \(\mathbb{R}^{\infty}\) and Gaussian measures on a Hilbert space, we establish criteria for finite absolute continuity. We consider cases where the condition of finite abso...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Datum:	2008
Hauptverfasser:	Ryabov, G. V., Рябов, Г. В.
Format:	Artikel
Sprache:	Russisch Englisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 2008
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/3251
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:	Ukrains’kyi Matematychnyi Zhurnal
Завантажити файл:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Ähnliche Einträge

Measurable Functionals and Finitely Absolutely Continuous Measures on Banach Spaces
von: Dorogovtsev, A. A., et al.
Veröffentlicht: (2000)

Finite absolute continuity on an abstract Wiener space
von: G. V. Riabov
Veröffentlicht: (2011)

Finite-dimensional approximations of diffusion measures in a Hilbert space
von: Bondarenko, V. G., et al.
Veröffentlicht: (1999)

Condition for intersection occupation measure to be absolutely continuous
von: X. Chen
Veröffentlicht: (2020)

Condition for intersection occupation measure to be absolutely continuous
von: Chen, X., et al.
Veröffentlicht: (2020)

Nonlinear Transformations of Smooth Measures on Infinite-Dimensional Spaces
von: Kulik, A. M., et al.
Veröffentlicht: (2000)

Approximation of Densities of Absolutely Continuous Components of Measures in a Hilbert Space Using the Ornstein-Uhlenbeck Semigroup
von: Rudenko, A. V., et al.
Veröffentlicht: (2004)

Pseudodifferential equations and a generalized translation operator in non-gaussian infinite-dimensional analysis
von: Kachanovskii, N. A., et al.
Veröffentlicht: (1999)

On weak convergence of finite-dimensional and infinite-dimensional distributions of random processes
von: V. I. Bogachev, et al.
Veröffentlicht: (2016)

Surface measures associated with a non-invariant measure in a finite-dimensional space
von: B. M. Snizhko
Veröffentlicht: (2019)

Elements of a non-Gaussian analysis on the spaces of functions of infinitely many variables
von: Kachanovsky, N.A.
Veröffentlicht: (2010)

Elements of a non-gaussian analysis on the spaces of functions of infinitely many variables
von: Kachanovskii, N. A., et al.
Veröffentlicht: (2010)

Infinite Dimensional Spaces and Cartesian Closedness
von: P. Giordano
Veröffentlicht: (2011)

On the Lagrangian and Hamiltonian aspects of infinite-dimensional dynamical systems and their finite-dimensional reductions
von: Prykarpatsky, Y.A., et al.
Veröffentlicht: (2005)

On asymptotic normality of estimates for correlation functions of stationary Gaussian processes in the space of continuous functions
von: Buldygin, V. V., et al.
Veröffentlicht: (1995)

On the absolute continuity of mappings distorting the moduli of cylinders
von: Salimov, R. R., et al.
Veröffentlicht: (2017)

On the relationship between the multiplicities of eigenvalues in finite- and infinite-dimensional problems on graphs
von: Boyko, O. P., et al.
Veröffentlicht: (2017)

On the absolute continuity of mappings distorting the moduli of cylinders
von: R. R. Salimov, et al.
Veröffentlicht: (2017)

On Bijective Continuous Images of Absolute Null Sets
von: A. B. Kharazishvili
Veröffentlicht: (2015)

On Bijective Continuous Images of Absolute Null Sets
von: Kharazishvili, A.
Veröffentlicht: (2015)

On Bijective Continuous Images of Absolute Null Sets
von: Kharazishvili, A. B., et al.
Veröffentlicht: (2015)

Markov Uniqueness and Rademacher Theorem for Smooth Measures on an Infinite-Dimensional Space under Successful-Filtration Condition
von: Kulik, A. M., et al.
Veröffentlicht: (2005)

On the relationship between the multiplicities of eigenvalues in finite- and infinite-dimensional problems on graphs
von: O. P. Boiko, et al.
Veröffentlicht: (2017)

The structure of infinite dimensional linear groups satisfying certain finiteness conditions
von: Jose M. Munoz-Escolano, et al.
Veröffentlicht: (2009)

Families of functions with equal-power absolutely continuous integrals
von: Dovgoshei , A. A., et al.
Veröffentlicht: (1992)

Laplacian Generated by the Gaussian Measure and Ergodic Theorem
von: Bogdanskii, Yu. V., et al.
Veröffentlicht: (2015)

Filtration and Finite-Dimensional Characterization of Logarithmically Convex Measures
von: Kulik, A. M., et al.
Veröffentlicht: (2002)

Approximation for absolutely continuous functions by Stancu Beta operators
von: Xiao-Ming Zeng
Veröffentlicht: (2011)

On the Perturbation of Self-Adjoint Operators with Absolutely Continuous Spectrum
von: A. N. Syrovatsky
Veröffentlicht: (2013)

On the Perturbation of Self-Adjoint Operators with Absolutely Continuous Spectrum
von: Syrovatsky, A.N.
Veröffentlicht: (2013)

Approximation for absolutely continuous functions by Stancu Beta operators
von: Zeng, Xiao Ming, et al.
Veröffentlicht: (2011)

On Markov measure-valued processes in a finite space
von: Ostapenko, E. V., et al.
Veröffentlicht: (2008)

Simulations of Gaussian stationary random processes with continuous spectrum
von: A. O. Pashko
Veröffentlicht: (2014)

On infinite levels of continuous functions
von: V. M. Safonov
Veröffentlicht: (2015)

Spaces appearing in the construction of infinite-dimensional analysis according to the biorthogonal scheme
von: Tesko, V. A., et al.
Veröffentlicht: (2004)

Laplacian Generated by the Gaussian Measure and Ergodic Theorem
von: Ju. V. Bogdanskij, et al.
Veröffentlicht: (2015)

Groups of Periodically Defined Linear Transformations of an Infinite-Dimensional Vector Space
von: Bezushchak, O. E., et al.
Veröffentlicht: (2015)

On differentiability of mappings of finite-dimensional domains into Banach spaces
von: Bondar, A. V., et al.
Veröffentlicht: (1999)

Increasing the rapidity of thermal conductivity measurement by the absolute method
von: L. I. Anatychuk, et al.
Veröffentlicht: (2014)

Groups of Periodically Defined Linear Transformations of an Infinite-Dimensional Vector Space
von: O. O. Bezushchak, et al.
Veröffentlicht: (2015)