An index formula for Toeplitz operators

Abstract

We prove a Fedosov index formula for the index of Toeplitz operators connected with the Hardy space of solutions to an elliptic system of first-order partial differential equations in a bounded domain in with smooth boundary.

Keywords:

• Toeplitz operators
• Fredholm property
• index

AMS Subject Classifications:

• Primary: 47B35
• Secondary: 47L80

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

The research of the first author was supported by the grant of the Russian Federation Government for scientific research under the supervision of leading scientist at the Siberian Federal University, contract No [14.Y26.31.0006].