35 citations · 69 across the 5 of their papers we have counts for
4 papers · 1 filter
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…
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…
Tokens: An Algebraic Construction Common in Combinatorics, Analysis, and Physics
Vladimir V. Kisil
We give a brief account of a construction called tokens here, which is significant in algebra, analysis, combinatorics, and physics. Tokens allow to express a semigroup on one set…
Wavelets in Banach Spaces
Vladimir V. Kisil
We describe a construction of wavelets (coherent states) in Banach spaces generated by ``admissible'' group representations. Our main targets are applications in pure mathematics w…