29 citations · 142 across the 28 of their papers we have counts for
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math.CA2008
Convergence of diagonal Padé approximants for a class of definitizable functions
Maxim Derevyagin, Vladimir Derkach
Convergence of diagonal Padé approximants is studied for a class of functions which admit the integral representation $ {\mathfrak F}(λ)=r_1(λ)\int_{-1}^1\frac{tdσ(t)}{t-λ}+r_2(λ),…
math.SP2008
Generalized Jacobi operators in Krein spaces
Maxim Derevyagin
A special class of generalized Jacobi operators which are self-adjoint in Krein spaces is presented. A description of the resolvent set of such operators in terms of solutions of t…
math.CA2008
An operator approach to multipoint Pade approximations
Maxim S. Derevyagin, Alexei S. Zhedanov
First, an abstract scheme of constructing biorthogonal rational systems related to some interpolation problems is proposed. We also present a modification of the famous step-by-ste…