Yun-Zhang Li

GMRA-BASED CONSTRUCTION OF FRAMELETS IN REDUCING SUBSPACES OF L2(ℝd)

This paper develops GMRA-based construction procedures of Parseval framelets in the setting of reducing subspaces of L2(ℝd). A unitary extension principle is established; in particular, for a general expansive matrix A with |det A| = 2, an explicit construction of Parseval framelets is obtained. Some examples are also provided to illustrate the generality of our theory.

Gabor frame sets for subspaces

This paper investigates Gabor frame sets in a periodic subset

The duals of Gabor frames on discrete periodic sets

\mathbb S

On the construction of a class of bidimensional nonseparable compactly supported wavelets

of

Vector-valued Gabor frames associated with periodic subsets of the real line

\mathbb R

RATIONAL TIME-FREQUENCY GABOR FRAMES ASSOCIATED WITH PERIODIC SUBSETS OF THE REAL LINE

. We characterize tight Gabor sets in

RATIONAL TIME-FREQUENCY VECTOR-VALUED SUBSPACE GABOR FRAMES AND BALIAN-LOW THEOREM

\mathbb S

Weak Nonhomogeneous Wavelet Bi-Frames for Reducing Subspaces of Sobolev Spaces

, and obtain some necessary/sufficient conditions for a measurable subset of

Weak Gabor bi-frames on periodic subsets of the real line

\mathbb S

Super Gabor frames on discrete periodic sets

to be a Gabor frame set in