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pro vyhledávání: '"Kisil, Vladimir V."'
Autor:
Kisil, Vladimir V.
Publikováno v:
In V.Dietrich at al (eds): Clifford algebras and their application in mathematical physics. Aachen 1996. Kluwer Acad. Pub., 1998, pp.175-184
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 present a new framework for analytic function theories based on group
Externí odkaz:
http://arxiv.org/abs/2409.20358
Autor:
Kisil, Vladimir V.
We re-use some original ideas of de~Broglie, Schr\"odiger, Dirac and Feynman to revise the ensemble interpretation of wave function in quantum mechanics. To this end we introduce coherence (auto-concordance) of ensembles of quantum trajectories in th
Externí odkaz:
http://arxiv.org/abs/2407.09277
Autor:
Aljasem, Jafar, Kisil, Vladimir V.
Publikováno v:
In: Rogosin, S. (eds) Analysis without Borders. Oper. Th: Adv. Appl, vol 297. Birkh\"auser, 2024
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 H. If a particular Lagrangian subspace is fixed then we can define SL(
Externí odkaz:
http://arxiv.org/abs/2402.02595
Transmutations from the Covariant Transform on the Heisenberg Group and an Extended Umbral Principle
Autor:
Kisil, Vladimir V.
We discuss several seemingly assorted objects: the umbral calculus, generalised translations and associated transmutations, symbolic calculus of operators. The common framework for them is representations of the Weyl algebra of the Heisenberg group b
Externí odkaz:
http://arxiv.org/abs/2305.14227
Publikováno v:
Bol. Soc. Mat. Mex. 29, 35 (2023)
Metamorphism is a recently introduced integral transform, which is useful in solving partial differential equations. Basic properties of metamorphism can be verified by direct calculations. In this paper we present metamorphism as a sort of covariant
Externí odkaz:
http://arxiv.org/abs/2301.05879
Autor:
Kisil, Vladimir V.
Publikováno v:
Ann. Funct. Anal. (2023) 14:38
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 framework of representation theory of the Heisenberg group. Our main te
Externí odkaz:
http://arxiv.org/abs/2108.13710
Publikováno v:
SIGMA 18 (2022), 065, 21 pages
We discuss a fine tuning of the co- and contra-variant transforms through construction of specific fiducial and reconstructing vectors. The technique is illustrated on three different forms of induced representations of the Heisenberg group. The cova
Externí odkaz:
http://arxiv.org/abs/2105.13811
Autor:
Kisil, Vladimir V.
We propose an integral transform, called metamorphism, which allow us to reduce the order of a differential equation. For example, the second order Helmholtz equation is transformed into a first order equation, which can be solved by the method of ch
Externí odkaz:
http://arxiv.org/abs/2105.12079
Autor:
Kisil, Vladimir V.
Publikováno v:
Elem. Math. 78 (2023), no. 2, pp. 49-71
The paper introduces cycles cross ratio, which extends the classic cross ratio of four points to various settings: conformal geometry, Lie spheres geometry, etc. Just like its classic counterpart cycles cross ratio is a measure of anharmonicity betwe
Externí odkaz:
http://arxiv.org/abs/2105.05634