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,
• L² theory of wavelets and (quasi) affine frames; characterization theorems, dimension function, etc.
• theory of shift invariant spaces in L²; range function, range operator, refinable spaces,
• theory of matrix valued weights generalizing scalar Muckenhoupt A_p weights.