Research
My current research in mathematics is in

theory of anisotropic Hardy spaces using real variable methods
in harmonic analysis,

construction of wavelets associated with arbitrary dilations
with nice properties,

wavelets as a tool in investigating function spaces, e.g.
anisotropic Hardy spaces,

L^{2} theory of wavelets
and (quasi) affine frames; characterization theorems, dimension function,
etc.

theory of shift invariant spaces in L^{2};
range function, range operator, refinable spaces,

theory of matrix valued weights generalizing scalar Muckenhoupt
A_{p}
weights.
Last updated: September 6, 2000.