17 citations · 44 across the 20 of their papers we have counts for
21 papers
Segal-Bargmann type spaces related to non-rotational measure, and entanglement of bipartite squeezed coherent states
K. Górska, A. Horzela, D. Kołaczek +2
Entanglement of bipartite squeezed states generated by holomorphic Hermite functions of two complex variables is investigated using phase-space approach based on the Wigner distrib…
Christoffel-Darboux kernels in several real variables
Dariusz Cichoń, Franciszek H. Szafraniec
The Christoffel-Darboux kernels for orthogonal polynomials in several real variables are investigated within the context of the three term recurrence relation reformulated for this…
The complex moment problem: determinacy and extendibility
D. Cichoń, J. Stochel. F. H. Szafraniec
Complex moment sequences are exactly those which admit positive definite extensions on the integer lattice points of the upper diagonal half-plane. Here we prove that the aforesaid…
Coherence, squeezing and entanglement -- an example of peaceful coexistence
K. Górska, A. Horzela, F. H. Szafraniec
After exhaustive inspection of bosonic coherent states appearing in physical literature two of us, Horzela and Szafraniec, came in 2012 to the reasonably general definition which r…
Holomorphic Hermite polynomials in two variables
K. Górska, A. Horzela, F. H. Szafraniec
Generalizations of the Hermite polynomials to many variables and/or to the complex domain have been located in mathematical and physical literature for some decades. Polynomials tr…
The Sobolev moment problem and Jordan dilations
F. H. Szafraniec, M. Wojtylak
Moment problems and orthogonal polynomials, both meant in a single real variable, belong to the oldest problems in Classical Analysis. They have been developing for over a century…