Azita Mayeli
Published 2008-04-02, updated 2008-04-11Version 2
We present a notion of frame multiresolution analysis on the Heisenberg group, abbreviated by FMRA, and study its properties. Using the irreducible representations of this group, we shall define a sinc-type function which is our starting point for obtaining the scaling function. Further, we shall give a concrete example of a wavelet FMRA on the Heisenberg group which is analogous to the Shannon MRA on $\RR$.
On theorems of Chernoff and Ingham on the Heisenberg group
Cross-Toeplitz Operators on the Fock--Segal--Bargmann Spaces and Two-Sided Convolutions on the Heisenberg Group
The Lusin theorem and horizontal graphs in the Heisenberg group
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