43 citations · 169 across the 17 of their papers we have counts for
8 papers · 1 filter
A family of *-algebras allowing Wick ordering: Fock representations and universal enveloping -algebras
Palle E. T. Jorgensen, Daniil P. Proskurin, Yurii Samoilenko
We consider an abstract Wick ordering as a family of relations on elements a_i and define *-algebras by these relations. The relations are given by a fixed operator T:h\otimes h --…
Some second-order partial differential equations associated with Lie groups
Palle E. T. Jorgensen
In this note we survey results in recent research papers on the use of Lie groups in the study of partial differential equations. The focus will be on parabolic equations, and we w…
Representations of Cuntz algebras, loop groups and wavelets
Palle E. T. Jorgensen
A theorem of Glimm states that representation theory of an NGCR C*-algebra is always intractable, and the Cuntz algebra O_N is a case in point. The equivalence classes of irreducib…
Multiresolution wavelet analysis of Bessel functions of scale
P. E. T. Jorgensen, A. Paolucci
We identify multiresolution subspaces giving rise via Hankel transforms to Bessel functions. They emerge as orthogonal systems derived from geometric Hilbert-space considerations,…
Commuting self-adjoint extensions of symmetric operators defined from the partial derivatives
Palle E. T. Jorgensen, Steen Pedersen
We consider the problem of finding commuting self-adjoint extensions of the partial derivatives {(1/i)(\partial/\partial x_j):j=1,...,d} with domain C_c^\infty(Ω) where the self-ad…
The kernel of Fock representations of Wick algebras with braided operator of coefficients
Palle E. T. Jorgensen, Daniil P. Proskurin, Yurii S. Samoilenko
It is shown that the kernel of the Fock representation of a certain Wick algebra with braided operator of coefficients T, || T ||<= 1, coincides with the largest quadratic Wick ide…