Bandlimited Wavelets on the Heisenberg Group

Biorthogonal Sampling Functions Associated With Meyer Type Wavelets

In this article, we study a class of biorthogonal sampling functions in the context of bandlimited wavelets, Meyer type wavelets. Originally raised in the construction of bandlimited wavelets, these sampling functions also possess a similar structure to the scaling functions of wavelets with adjustable bandwidth parameters. In addition, these sampling functions are infinite impulse response (II...

Orthogonal Non{Bandlimited Wavelets on the Sphere

This paper introduces orthogonal non{bandlimited wavelets on the sphere with respect to a certain Sobolev space topology. The construction of those kernels is based on a clustering of the index set N = f(n; k) 2 N0 Zj n k ng associated to the system of spherical harmonics fYn;kg(n;k)2N . The wavelets presented here form reproducing kernels of the spans of the clustered harmonics. More explicitl...

Shannon-Like Parseval Frame Wavelets on Some Two Step Nilpotent Lie Groups

We construct Shannon-like Parseval frame wavelets on a class of non commutative two-step nilpotent Lie groups. Our work was inspired by a construction given by Azita Mayeli on the Heisenberg group. The tools used here are representation theoretic. However, a great deal of Gabor theory is used for the construction of the wavelets. The construction obtained here is very explicit, and we are even ...

φ-factorable operators and Weyl-Heisenberg frames on LCA groups

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