Higher Moments of Banach Space Valued Random Variables

Higher Moments of Banach Space Valued Random Variables PDF Author: Svante Janson
Publisher: American Mathematical Soc.
ISBN: 1470414651
Category : Mathematics
Languages : en
Pages : 124

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Book Description
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.

Higher Moments of Banach Space Valued Random Variables

Higher Moments of Banach Space Valued Random Variables PDF Author: Svante Janson
Publisher: American Mathematical Soc.
ISBN: 1470414651
Category : Mathematics
Languages : en
Pages : 124

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Book Description
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.

Random Integral Equations

Random Integral Equations PDF Author: Bharucha-Reid
Publisher: Academic Press
ISBN: 008095605X
Category : Computers
Languages : en
Pages : 283

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Book Description
Random Integral Equations

Sums of Independent Banach Space Valued Random Variables

Sums of Independent Banach Space Valued Random Variables PDF Author: J. Hoffmann-Joergensen
Publisher:
ISBN:
Category :
Languages : en
Pages : 89

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Book Description


An Introduction to Computational Stochastic PDEs

An Introduction to Computational Stochastic PDEs PDF Author: Gabriel J. Lord
Publisher: Cambridge University Press
ISBN: 0521899907
Category : Business & Economics
Languages : en
Pages : 516

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Book Description
This book offers a practical presentation of stochastic partial differential equations arising in physical applications and their numerical approximation.

The Central Limit Theorem for Real and Banach Valued Random Variables

The Central Limit Theorem for Real and Banach Valued Random Variables PDF Author: Aloisio Araujo
Publisher: John Wiley & Sons
ISBN:
Category : Mathematics
Languages : en
Pages : 256

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Book Description


Layer Potentials and Boundary-Value Problems for Second Order Elliptic Operators with Data in Besov Spaces

Layer Potentials and Boundary-Value Problems for Second Order Elliptic Operators with Data in Besov Spaces PDF Author: Ariel Barton:
Publisher: American Mathematical Soc.
ISBN: 1470419890
Category : Mathematics
Languages : en
Pages : 122

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Book Description
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

Nil Bohr-Sets and Almost Automorphy of Higher Order PDF Author: Wen Huang
Publisher: American Mathematical Soc.
ISBN: 147041872X
Category : Mathematics
Languages : en
Pages : 98

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Book Description
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.

An integral representation for selfdecomposable Banach space valued random variables

An integral representation for selfdecomposable Banach space valued random variables PDF Author: Zbigniew J. Jurek
Publisher:
ISBN:
Category :
Languages : en
Pages : 25

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Book Description


Classes of Polish Spaces Under Effective Borel Isomorphism

Classes of Polish Spaces Under Effective Borel Isomorphism PDF Author: Vassilios Gregoriades
Publisher: American Mathematical Soc.
ISBN: 1470415631
Category : Mathematics
Languages : en
Pages : 102

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Book Description
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.

Moduli of Double EPW-Sextics

Moduli of Double EPW-Sextics PDF Author: Kieran G. O'Grady
Publisher: American Mathematical Soc.
ISBN: 1470416964
Category : Mathematics
Languages : en
Pages : 188

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Book Description
The author studies the GIT quotient of the symplectic grassmannian parametrizing lagrangian subspaces of ⋀3C6 modulo the natural action of SL6, call it M. This is a compactification of the moduli space of smooth double EPW-sextics and hence birational to the moduli space of HK 4-folds of Type K3[2] polarized by a divisor of square 2 for the Beauville-Bogomolov quadratic form. The author will determine the stable points. His work bears a strong analogy with the work of Voisin, Laza and Looijenga on moduli and periods of cubic 4-folds.