Investigating a Class of Operators on Certain Hilbert Spaces and their Connection to Frame Theory | Department of Mathematics

Investigating a Class of Operators on Certain Hilbert Spaces and their Connection to Frame Theory

This research is funded by a grant under the SERB MATRICS scheme of the Department of Science & Technology, Govt. of India.

I have been consistently interested in problems related to characterizing invariant subspaces of certain operators on a class of function spaces. In this project, I wish to continue my investigation in this direction. I am also interested in Frame Theory. So far, I have studied function theory and frame theory separately, but now I would like to explore the connection between the two areas. One of my earlier works, where we have characterized a class of sub-Lebesgue Hilbert spaces which are closely connected to the work of de Branges and others, seems to have connections with frame theory and it has become evident that this could be a fruitful area for investigation.

Faculty

Asst. Professor