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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...
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...
We develop potential theory of Schrdinger operators based on fractional Laplacian on Euclidean spaces of arbitrary dimension. We focus on questions related to gaugeability and existence of q-harmon...
Estimating covariance matrices is a problem of fundamental importance in multivariate statistics. In practice it is increasingly frequent to work with data matrices X of dimension n×p, where p and n...

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