19 citations · 23 across the 12 of their papers we have counts for
14 papers
A Jordan-Schwinger Variant of the Spectral Theorem for Linear Operators
Wolfgang Bock, Vyacheslav Futorny, Mikhail Neklyudov
In this paper we show variant of the spectral theorem using an algebraic Jordan-Schwinger map. The advantage of this approach is that we don't have restriction of normality on the…
Stretching maps for tensors
Vyacheslav Futorny, Mikhail Neklyudov, Kaiming Zhao
We consider an algebra of even-order square tensors and introduce a stretching map which allows us to represent tensors as matrices. The stretching map could be understood as a gen…
A Poisson Algebra on the Hida Test Functions and a Quantization using the Cuntz Algebra
Wolfgang Bock, Vyacheslav Futorny, Mikhail Neklyudov
In this note we define one more way of quantization of classical systems. The quantization we consider is an analogue of classical Jordan-Schwinger (J.-S.) map which has been known…
Functional analysis approach to the Collatz conjecture
Mikhail Neklyudov
We investigate the problems related to the Collatz map from the point of view of functional analysis. We associate with certain linear operator and show that…
Convex topological algebras via linear vector fields and Cuntz algebras
Wolfgang Bock, Vyacheslav Futorny, Mikhail Neklyudov
Realization by linear vector fields is constructed for any Lie algebra which admits a biorthogonal system and for its any suitable representation. The embedding into Lie algebras o…
A particle system approach to cell-cell adhesion models
Mikhail Neklyudov, Dario Trevisan
We investigate micro-to-macroscopic derivations in two models of living cells, in presence to cell-cell adhesive interactions. We rigorously address two PDE-based models, one featu…