214 citations · 739 across the 64 of their papers we have counts for
67 papers
How Many Essentially Different Functional Theories Exist?
Vladimir V. Kisil
The question in the title is ambiguous. At least the understanding of words essentially different and function theory should be clarified. We discuss approaches to do that. We also…
Interpretation of wave function by coherent ensembles of trajectories
Vladimir V. Kisil
We re-use some original ideas of de~Broglie, Schrödiger, Dirac and Feynman to revise the ensemble interpretation of wave function in quantum mechanics. To this end we introduce coh…
Operator Projective Line and Its Transformations
Jafar Aljasem, Vladimir V. Kisil
We introduce a concept of the operator (non-commutative) projective line PH defined by a Hilbert space H and a symplectic structure on it. Points of PH are Lagrangian subspaces of…
Transmutations from the Covariant Transform on the Heisenberg Group and an Extended Umbral Principle
Vladimir V. Kisil
We discuss several seemingly assorted objects: the umbral calculus, generalised translations and associated transmutations, symbolic calculus of operators. The common framework for…
Metamorphism as a covariant transform for the SSR group
Taghreed Alqurashi, Vladimir V. Kisil
Metamorphism is a recently introduced integral transform, which is useful in solving partial differential equations. Basic properties of metamorphism can be verified by direct calc…
Cross-Toeplitz Operators on the Fock--Segal--Bargmann Spaces and Two-Sided Convolutions on the Heisenberg Group
Vladimir V. Kisil
We introduce an extended class of cross-Toeplitz operators which act between Fock--Segal--Bargmann spaces with different weights. It is natural to consider these operators in the f…