Berger-Coburn-Lebow representation for pure isometric representations of product system over N02

Authors

Dimple Saini, The LNM Institute of Information Technology
Harsh Trivedi, The LNM Institute of Information Technology
Shankar Veerabathiran, Indian Statistical Institute Bangalore

Article Type

Research Article

Publication Title

Journal of Mathematical Analysis and Applications

Abstract

We obtain Berger-Coburn-Lebow (BCL)-representation for pure isometric covariant representation of product system over N0². Then the corresponding complete set of (joint) unitary invariants is studied, and the BCL-representations are compared with other canonical multi-analytic descriptions of the pure isometric covariant representation. We characterize the invariant subspaces for the pure isometric covariant representation. Also, we study the connection between the joint defect operators and Fringe operators, and the Fredholm index is introduced in this case. Finally, we introduce the notion of congruence relation to classify the isometric covariant representations of the product system over N0².

DOI

10.1016/j.jmaa.2023.127807

Publication Date

3-1-2024

Comments

Open Access; Green Open Access

Recommended Citation

Saini, Dimple; Trivedi, Harsh; and Veerabathiran, Shankar, "Berger-Coburn-Lebow representation for pure isometric representations of product system over N02" (2024). Journal Articles. 4622.
https://digitalcommons.isical.ac.in/journal-articles/4622