70 citations · 201 across the 15 of their papers we have counts for
13 papers
The Hyperanalytic Wavelet Transform
S. C. Olhede, G. Metikas
In this paper novel classes of 2-D vector-valued spatial domain wavelets are defined, and their properties given. The wavelets are 2-D generalizations of 1-D analytic wavelets, dev…
Multiple Multidimensional Morse Wavelets
G. Metikas, S. C. Olhede
We define a set of operators that localise a radial image in radial space and radial frequency simultaneously. We find the eigenfunctions of this operator and thus define a non-sep…
Nonperturbative Effects on T_c of Interacting Bose Gases in Power-Law Traps
O. Zobay, G. Metikas, H. Kleinert
The critical temperature T_c of an interacting Bose gas trapped in a general power-law potential V(x)=\sum_i U_i|x_i|^{p_i} is calculated with the help of variational perturbation…
Thermodynamics of a trapped interacting Bose gas and the renormalization group
G. Metikas, O. Zobay, G. Alber
We apply perturbative renormalization group theory to the symmetric phase of a dilute interacting Bose gas which is trapped in a three-dimensional harmonic potential. Using Wilsoni…
The epsilon-expansion in the symmetry-broken phase of an interacting Bose gas at finite temperature
G. Metikas, O. Zobay, G. Alber
We discuss the application of the momentum-shell renormalization group method to the interacting homogeneous Bose gas in the symmetric and in the symmetry-broken phases. It is demo…
Non-Analytic Vertex Renormalization of a Bose Gas at Finite Temperature
Georgios Metikas, Gernot Alber
We derive the flow equations for the symmetry unbroken phase of a dilute 3-dimensional Bose gas. We point out that the flow equation for the interaction contains parts which are no…