131 citations · 330 across the 50 of their papers we have counts for
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A note on sharp spectral estimates for periodic Jacobi matrices
Anton A. Kutsenko
The spectrum of three-diagonal self-adjoint -periodic Jacobi matrix with positive off-diagonal elements an real diagonal elements consist of intervals separated by $…
On Direct Integral Expansion for Periodic Block-Operator Jacobi Matrices and Applications
Leonid Golinskii, Anton Kutsenko
We construct a functional model (direct integral expansion) and study the spectra of certain periodic block-operator Jacobi matrices, in particular, of general 2D partial differenc…
Finite PDEs and finite ODEs are isomorphic
Anton A. Kutsenko
The standard view is that PDEs are much more complex than ODEs, but, as will be shown below, for finite derivatives this is not true. We consider the -algebras ${\mathscr H}_{…
Matrix representations of multidimensional integral and ergodic operators
Anton A. Kutsenko
We provide a representation of the -algebra generated by multidimensional integral operators with piecewise constant kernels and discrete ergodic operators. This representatio…
Programming infinite machines
Anton Kutsenko
For infinite machines which are free from the classical Thompson's lamp paradox we show that they are not free from its inverted version. We provide a program for infinite machines…