Searched for: subject%3A%22Hilbert%255C+space%22
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Carrondo do Amaral Magalhães Simões, Tomás (author)
This thesis examines the approximation capabilities of path signatures within rough path spaces, focusing on both local and global universality. To this end, we provide a self-contained introduction to Rough Path theory, highlighting the interplay between additive and multiplicative functionals. This leads to the renowned Lyons' Extension...
master thesis 2024
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Khosravi, M. (author)
In this work, we consider the problem of learning the Koopman operator for discrete-time autonomous systems. The learning problem is formulated as a generic constrained regularized empirical loss minimization in the infinite-dimensional space of linear operators. We show that a representer theorem holds for the introduced learning problem...
journal article 2023
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Kirchner, K. (author), Bolin, David (author)
Optimal linear prediction (aka. kriging) of a random field {Z(x)} x∈X indexed by a compact metric space (X, dX ) can be obtained if the mean value function m: X →R and the covariance function ∂: X × X →R of Z are known. We consider the problem of predicting the value of Z(x*) at some location x*∈ X based on observations at locations {xj }nj ...
journal article 2022
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Van Gaans, O. (author), Van Neerven, J. (author)
We investigate existence and permanence properties of invariant measures for abstract stochastic Cauchy problems of the form
journal article 2006
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Van Neerven, J. (author), Veraar, M. (author)
journal article 2005
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Van Neerven, J.M.A.M. (author)
By a recent result of Priola and Zabczyk, a null controllable linear system [y'(t) = Ay(t) + Bu(t)] in a Hilbert space E is null controllable with vanishing energy if and only if it is null controllable and the only positive self-adjoint solution of the associated algebraic Riccati equation [XA + A* X - XBB* X = 0] is the trivial solution X = 0....
journal article 2005
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Clément, Ph. (author), van Horssen, W.T. (author)
In this paper an initial-boundary value problem for a nonlinear string (or wave) equation with non-classical boundary conditions is considered. One end of the string is assumed to be fixed and the other end of the string is attached to a dashpot system, where the (positive) damping is generated. Existence, uniqueness, and regularity of solutions...
report 2003
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Schuitman, A. (author)
doctoral thesis 1985
Searched for: subject%3A%22Hilbert%255C+space%22
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