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Consider a superdiffusion X on R d corresponding to the semilinear operator A(u) = Lu + βu − ku 2 , where L is a second order elliptic operator, β(·) is in the Kato class and bounded from above,...
Consider a superdiffusion X on R d corresponding to the semilinear operator A(u) = Lu + βu − ku 2 , where L is a second order elliptic operator, β(·) is in the Kato class and bounded from above,...
We adress the problem of Laplace deconvolution with random noise in a regression framework. The time set is not considered to be fixed, but grows with the number of observation points. Moreover, the c...
We consider a class of operator-induced norms, acting as finite-dimensional surrogates to the L2 norm, and study their approximation properties over Hilbert subspaces of L2. The class includes, as a...
Operator fractional Brownian motions (OFBMs) are (i) Gaussian, (ii) operator self-similar and (iii) stationary increment processes. They are the natural multivariate generalizations of the well-studie...
Following Hartigan [1975], a cluster is defined as a connected component of the t-level set of the underlying density, i.e., the set of points for which the density is greater than t. A clustering a...
In the paper a characterization of interpolation error operator for Hilbert space valued staiionary stochastic processes is obtained.
Some classes of Banach spaces of measurable operator- valued functions which are p-integrable with respect to a oertain operator-valued measure are introduced. As a special case one obtains the Hil...
A new notion of operator-stable processes is introduced and operator fractional stable motions are discussed as examples of operator-stable processes.
The control process that minimizes the quadratic performance functional associated with a quantum system whose evolution is described by a Hudson-Parthasarathy type stochastic differential equation...
Let Q(A) be a positive operator-valued measure defined on a measurable space (X, q. This means that Q ( A ): L, (M,A , p) + L,( M, A, p) with Q (A) fa0 for f 3 0. Then Q (-1 has a "dilation" of the...
We investigate independent marginals of full operator- semistable and operator-stable probability measures on linite- -dimensional vector spaces. In particular, it is shown that for purely Poissoni...
In [3] there were studied Banach spaces of (equivalence classes of) functions @ whose values are unbounded operators, in general, and which are p-integrable with respect to operator-valued measures...

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