2 citations · 2 across the 5 of their papers we have counts for
6 papers
Unitary equivalence of lowest dimensional reproducing formulae of type
R. Boyer, K. Nowak, M. Pap
All two-dimensional reproducing formulae, i.e. of , resulting out of restrictions of the projective metaplectic representation to connected Lie subgroups of $Sp…
Two-dimensional Shannon type expansions via one-dimensional affine and wavelet lattice actions
Krzysztof Nowak, Margit Pap
It is rather unexpected, but true, that it is possible to construct reproducing formulae and orthonormal bases of just by applying the standard one dimensional…
Slice regular Malmquist-Takenaka system in the quaternionic Hardy spaces
Margit Pap
A slice regular analogue of the Malmquist-Takenaka system is investigated. It is proved that they form a complete orthonormal system in the quaternionic Hardy spaces of the unit ba…
Asymptotic boundary forms for tight Gabor frames and lattice localization domains
H. G. Feichtinger, K. Nowak, M. Pap
We consider Gabor localization operators defined by two parameters, the generating function of a tight Gabor frame , parametrized by the elements of…
Multiresolution in the Bergman space
Margit Pap
In this paper we give a multiresolution construction in Bergman space. The successful application of rational orthogonal bases needs a priori knowledge of the poles of the transfer…
Frame and wavelet systems on the sphere
Margit Pap
In this paper we formulate a weighted version of minimum problem (1.4) on the sphere and we show that, for , if consists of the spherical functions with…