Higher Moments Of Banach Space Valued Random Variables
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Higher Moments Of Banach Space Valued Random Variables
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Author : Svante Janson
language : en
Publisher:
Release Date : 2015
Higher Moments Of Banach Space Valued Random Variables written by Svante Janson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Banach spaces categories.
We define the k:th moment of a Banach space valued random variable as the expectation of its k:th tensor power; thus the moment (if it exists) is an element of a tensor power of the original Banach space. We study both the projective and injective tensor products, and their relation. Moreover, in order to be general and flexible, we study three different types of expectations: Bochner integrals, Pettis integrals and Dunford integrals. One of the problems studied is whether two random variables with the same injective moments (of a given order) necessarily have the same projective moments; this is of interest in applications. We show that this holds if the Banach space has the approximation property, but not in general. Several chapters are devoted to results in special Banach spaces, including Hilbert spaces, C(K) and D[0, 1]. The latter space is non-separable, which complicates the arguments, and we prove various preliminary results on e.g. measurability in D[0, 1] that we need. One of the main motivations of this paper is the application to Zolotarev metrics and their use in the contraction method. This is sketched in an appendix.
Higher Moments Of Banach Space Valued Random Variables
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Author : Svante Janson
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-10-27
Higher Moments Of Banach Space Valued Random Variables written by Svante Janson and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-27 with Mathematics categories.
The authors define the :th moment of a Banach space valued random variable as the expectation of its :th tensor power; thus the moment (if it exists) is an element of a tensor power of the original Banach space. The authors study both the projective and injective tensor products, and their relation. Moreover, in order to be general and flexible, we study three different types of expectations: Bochner integrals, Pettis integrals and Dunford integrals.
Sums Of Independent Banach Space Valued Random Variables
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Author : J. Hoffmann-Joergensen
language : en
Publisher:
Release Date : 1972
Sums Of Independent Banach Space Valued Random Variables written by J. Hoffmann-Joergensen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with categories.
Random Integral Equations
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Author : Bharucha-Reid
language : en
Publisher: Academic Press
Release Date : 1973-03-02
Random Integral Equations written by Bharucha-Reid and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973-03-02 with Computers categories.
Random Integral Equations
Probability In Banach Spaces V
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Author : Anatole Beck
language : en
Publisher: Springer
Release Date : 2006-11-14
Probability In Banach Spaces V written by Anatole Beck and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
An Introduction To Computational Stochastic Pdes
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Author : Gabriel J. Lord
language : en
Publisher: Cambridge University Press
Release Date : 2014-08-11
An Introduction To Computational Stochastic Pdes written by Gabriel J. Lord and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-11 with Business & Economics categories.
This book offers a practical presentation of stochastic partial differential equations arising in physical applications and their numerical approximation.
Layer Potentials And Boundary Value Problems For Second Order Elliptic Operators With Data In Besov Spaces
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Author : Ariel Barton:
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-09-06
Layer Potentials And Boundary Value Problems For Second Order Elliptic Operators With Data In Besov Spaces written by Ariel Barton: and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-06 with Mathematics categories.
This monograph presents a comprehensive treatment of second order divergence form elliptic operators with bounded measurable t-independent coefficients in spaces of fractional smoothness, in Besov and weighted Lp classes. The authors establish: (1) Mapping properties for the double and single layer potentials, as well as the Newton potential; (2) Extrapolation-type solvability results: the fact that solvability of the Dirichlet or Neumann boundary value problem at any given Lp space automatically assures their solvability in an extended range of Besov spaces; (3) Well-posedness for the non-homogeneous boundary value problems. In particular, the authors prove well-posedness of the non-homogeneous Dirichlet problem with data in Besov spaces for operators with real, not necessarily symmetric, coefficients.
Nil Bohr Sets And Almost Automorphy Of Higher Order
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Author : Wen Huang
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-04-26
Nil Bohr Sets And Almost Automorphy Of Higher Order written by Wen Huang and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-26 with Mathematics categories.
Two closely related topics, higher order Bohr sets and higher order almost automorphy, are investigated in this paper. Both of them are related to nilsystems. In the first part, the problem which can be viewed as the higher order version of an old question concerning Bohr sets is studied: for any d∈N does the collection of {n∈Z:S∩(S−n)∩…∩(S−dn)≠∅} with S syndetic coincide with that of Nild Bohr0 -sets? In the second part, the notion of d -step almost automorphic systems with d∈N∪{∞} is introduced and investigated, which is the generalization of the classical almost automorphic ones.
The Central Limit Theorem For Real And Banach Valued Random Variables
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Author : Aloisio Araujo
language : en
Publisher: John Wiley & Sons
Release Date : 1980
The Central Limit Theorem For Real And Banach Valued Random Variables written by Aloisio Araujo and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematics categories.
Classes Of Polish Spaces Under Effective Borel Isomorphism
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Author : Vassilios Gregoriades
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-03-10
Classes Of Polish Spaces Under Effective Borel Isomorphism written by Vassilios Gregoriades and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-10 with Mathematics categories.
The author studies the equivalence classes under Δ11 isomorphism, otherwise effective Borel isomorphism, between complete separable metric spaces which admit a recursive presentation and he shows the existence of strictly increasing and strictly decreasing sequences as well as of infinite antichains under the natural notion of Δ11-reduction, as opposed to the non-effective case, where only two such classes exist, the one of the Baire space and the one of the naturals.