Interpolating functions for a family of domains related to $$\varvec{\mu }$$-synthesis

Roy, Samriddho

doi:10.1007/s12044-022-00685-4

Cited by 2 publications

(1 citation statement)

References 9 publications

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“…A generalization of the symmetrized polydisc called the extended symmetrized polydisc was introduced by the second author and Pal [13]. These domains are useful in studying the Schwarz lemma for G n (see [14]) and are related to the µ-synthesis problem as well (see [16]). The extended symmetrized polydisc G n , n ≥ 2, is defined as follows.…”

Section: 2mentioning

confidence: 99%

The Friedrichs Operator and Circular Domains

Ravisankar¹,

Roy²

2022

Preprint

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The Friedrichs operator of a domain (in C n ) is closely related to its Bergman projection and encodes crucial information (geometric, quadrature, potential 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 circular domain via a proper holomorphic map of finite multiplicity whose Jacobian is a homogeneous polynomial. As an application, we show that the Friedrichs operator is of rank one on the tetrablock, pentablock, and the symmetrized polydisc -domains of significance in the study of µ-synthesis in control theory.

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Section: 2mentioning

confidence: 99%

The Friedrichs Operator and Circular Domains

Ravisankar¹,

Roy²

2022

Preprint

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The Friedrichs operator and circular domains

Ravisankar¹,

Roy²

2024

Proc. Amer. Math. Soc.

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The Friedrichs operator of a domain (in C n \mathbb {C}^n ) is closely related to its Bergman projection and encodes crucial information (geometric, quadrature, potential 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 circular domain via a proper holomorphic map of finite multiplicity whose Jacobian is a homogeneous polynomial. As an application, we show that the Friedrichs operator is of rank one on the tetrablock, pentablock, and the symmetrized polydisc – domains of significance in the study of μ \mu -synthesis in control theory.

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Interpolating functions for a family of domains related to $$\varvec{\mu }$$-synthesis

Cited by 2 publications

References 9 publications

The Friedrichs Operator and Circular Domains

The Friedrichs Operator and Circular Domains

The Friedrichs operator and circular domains

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