Research

Mathematical Sciences

Title :

Characteristic Functions, Invariant Subspaces and Regular Factorizations

Area of research :

Mathematical Sciences

Principal Investigator :

Dr. Kalpesh Jayantilal Haria, Indian Institute Of Technology (IIT), Goa

Timeline Start Year :

2023

Timeline End Year :

2026

Contact info :

Details

Executive Summary :

This proposed project aims to investigate the properties/structures of a class of operators/operator tuples on Hilbert spaces through the dilation theory, a branch of the operator theory. A plan is to apply the isometric dilations/unitary dilations, the characteristic functions, and regular factorizations of the characteristic functions as the tools to scrutinize the properties/structures.

Total Budget (INR):

6,60,000

Organizations involved