We consider positive extension problems for block Toeplitz matrices when the specified entries form a stalactite type pattern. These problems do not seem in general to be amenable to the classical methods (they correspond to bitangential interpolation problems in the class of Carathéodory functions of a kind usually not solvable by the classical methods of interpolation). We solve these problems by reduction to a tangential interpolation with symmetries in a Carathéodory class
A new set of realization formulas is derived for a class of matrix-valued functions W(λ). These incl...
We consider two-sided and one-sided residue interpolation problem in classes of matrix-valued Hardy ...
Positive MV-algebras are the subreducts of MV-algebras with respect to the signature {⊕,⊙,∨,∧,0,1}. ...
AbstractWe consider positive extension problems for block Toeplitz matrices when the specified entri...
The general two-sided directional interpolation problem in the Stieltjes class for matrix functions ...
The space of upper triangular matrices with Hilbert-Schmidt norm can be viewed as a finite dimension...
AbstractWe consider positive extension problems for block Toeplitz matrices when the specified entri...
The two-sided Lagrange-Sylvester interpolation problem is solved in the framework of H2 functions. T...
We solve the bitangential interpolation problem with a finite number of interpolating points for the...
As was proved by Akhiezer and Krein, the partial trigonometric moment problem on an interval has sol...
This paper is a continuation of the research of our previous work[5] and considers quaternionic gene...
A general interpolation problem (which includes as particular cases the Nevanlinna–Pick and Carathéo...
We use reproducing kernel Hilbert space methods to solve a Carathéodory–Fejér type interpolation pro...
A general interpolation problem (which includes as particular cases the Nevanlinna–Pick and Carathéo...
Finite dimensional indefinite inner product spaces of vector valued rational functions which are (1)...
A new set of realization formulas is derived for a class of matrix-valued functions W(λ). These incl...
We consider two-sided and one-sided residue interpolation problem in classes of matrix-valued Hardy ...
Positive MV-algebras are the subreducts of MV-algebras with respect to the signature {⊕,⊙,∨,∧,0,1}. ...
AbstractWe consider positive extension problems for block Toeplitz matrices when the specified entri...
The general two-sided directional interpolation problem in the Stieltjes class for matrix functions ...
The space of upper triangular matrices with Hilbert-Schmidt norm can be viewed as a finite dimension...
AbstractWe consider positive extension problems for block Toeplitz matrices when the specified entri...
The two-sided Lagrange-Sylvester interpolation problem is solved in the framework of H2 functions. T...
We solve the bitangential interpolation problem with a finite number of interpolating points for the...
As was proved by Akhiezer and Krein, the partial trigonometric moment problem on an interval has sol...
This paper is a continuation of the research of our previous work[5] and considers quaternionic gene...
A general interpolation problem (which includes as particular cases the Nevanlinna–Pick and Carathéo...
We use reproducing kernel Hilbert space methods to solve a Carathéodory–Fejér type interpolation pro...
A general interpolation problem (which includes as particular cases the Nevanlinna–Pick and Carathéo...
Finite dimensional indefinite inner product spaces of vector valued rational functions which are (1)...
A new set of realization formulas is derived for a class of matrix-valued functions W(λ). These incl...
We consider two-sided and one-sided residue interpolation problem in classes of matrix-valued Hardy ...
Positive MV-algebras are the subreducts of MV-algebras with respect to the signature {⊕,⊙,∨,∧,0,1}. ...