Sampling theorems for the Heisenberg group

A Necessary Condition for Weyl-Heisenberg Frames

Bandlimited Wavelets on the Heisenberg Group

Let H be the three-dimensional Heisenberg group. We introduce a structure on the Heisenberg group which consists of the biregular representation of H×H restricted to some discrete subset of H×H and a free group of automorphisms H singly generated and acting semi-simply on H. Using well-known theorems borrowed from Gabor theory, we are able to construct simple and computable bandlimited discrete...

B-FOCAL CURVES OF BIHARMONIC B-GENERAL HELICES IN Heis

In this paper, we study B-focal curves of biharmonic B -general helices according to Bishop frame in the Heisenberg group Heis   Finally, we characterize the B-focal curves of biharmonic B- general helices in terms of Bishop frame in the Heisenberg group Heis        

Translation invariant surfaces in the 3-dimensional Heisenberg‎ ‎group

‎In this paper‎, ‎we study translation invariant surfaces in the‎ ‎3-dimensional Heisenberg group $rm Nil_3$‎. ‎In particular‎, ‎we‎ ‎completely classify translation invariant surfaces in $rm Nil_3$‎ ‎whose position vector $x$ satisfies the equation $Delta x = Ax$‎, ‎where $Delta$ is the Laplacian operator of the surface and $A$‎ ‎is a $3 times 3$-real matrix‎.

0 Representations of SU ( 1 , 1 ) in Non - commutative Space Generated by the Heisenberg Algebra

SU(1, 1) is considered as the automorphism group of the Heisenberg algebra H . The basis in the Hilbert space K of functions on H on which the irreducible representations of the group are realized is explicitly constructed. The addition theorems are derived. March 2000