3 papers
math.CA2018
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…
math.CA2016
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…
math.CV2016
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…