35 citations · 69 across the 5 of their papers we have counts for
13 papers
A Quantum-Classical Brackets from p-Mechanics
Vladimir V. Kisil
We provide an answer to the long standing problem of mixing quantum and classical dynamics within a single formalism. The construction is based on p-mechanical derivation (quant-ph…
Elliptic, Parabolic and Hyperbolic Analytic Function Theory--0: Geometry of Domains
Vladimir V. Kisil, Debapriya Biswas
This paper lays down a foundation for a systematic treatment of three main (elliptic, parabolic and hyperbolic) types of analytic function theory based on the representation theory…
Monogenic Calculus as an Intertwining Operator
Vladimir V. Kisil
We revise a monogenic calculus for several non-commuting operators, which is defined through group representations. Instead of an algebraic homomorphism we use group covariance. Th…
p-Mechanics as a Physical Theory. An Introduction
Vladimir V. Kisil
The paper provides an introduction into p-mechanics, which is a consistent physical theory suitable for a simultaneous description of classical and quantum mechanics. p-Mechanics n…
Spectrum as the Support of Functional Calculus
Vladimir V. Kisil
We investigate the new definition of analytic functional calculus in the terms of representation theory of SL2(R). We avoid any usage of its algebraic homomorphism property and rep…
Spaces of Analytical Functions and Wavelets--Lecture Notes
Vladimir V. Kisil
This is (raw) lecture notes of the course read on 6th European intensive course on Complex Analysis (Coimbra, Portugal) in 2000. Our purpose is to describe a general framework for…