THE FRIEDRICHS OPERATOR AND CIRCULAR DOMAINS

Authors

Sivaguru Ravisankar, Tata Institute of Fundamental Research, Mumbai
Samriddho Roy, Indian Statistical Institute (Delhi Centre)

Article Type

Research Article

Publication Title

Proceedings of the American Mathematical Society

Abstract

The Friedrichs operator of a domain (in Cⁿ) is c/ose/y re/ated to its Bergman projection and encodes crucia/ information (geometric, quadrature, potentia/ theoretic etc.) about the domain. We show that the Friedrichs operator of a domain has rank one if the domain can be covered by a circu/ar domain via a proper ho/omorphic map of finite mu/tip/icity whose Jacobian is a homogeneous po/ynomia/. As an app/ication, we show that the Friedrichs operator is of rank one on the tetrab/ock, pentab/ock, and the symmetrized po/ydisc – domains of significance in the study of μ-synthesis in contro/ theory.

First Page

1587

Last Page

1597

DOI

10.1090/proc/16606

Publication Date

4-1-2024

Comments

Open Access; Green Open Access

Recommended Citation

Ravisankar, Sivaguru and Roy, Samriddho, "THE FRIEDRICHS OPERATOR AND CIRCULAR DOMAINS" (2024). Journal Articles. 5141.
https://digitalcommons.isical.ac.in/journal-articles/5141