A Class of Toeplitz Operators in Several Variables

Fedchenko, Dmitry P.; Тарханов, Николай

doi:10.1007/s00006-015-0546-9

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2015

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“…In [FT13] we prove that Π is a classical pseudodifferential operator of order zero on S, provided that A is an elliptic differential operator on X in the classical sense, i.e. the principal homogeneous symbol of A is invertible away from the zero section of T * X .…”

Section: Introductionmentioning

confidence: 99%

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An index formula for Toeplitz operators

Fedchenko

Тарханов

2015

Complex Variables and Elliptic Equations

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Bibliografische Information der Deutschen NationalbibliothekDie Deutsche Nationalbibliothek verzeichnet diese Publikation in der Deutschen Nationalbibliografie; detaillierte bibliografische Daten sind im Internet über http://dnb.dnb.de abrufbar. 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 R n with smooth boundary. Universitätsverlag

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Section: Introductionmentioning

confidence: 99%

“…In [FT13] we initiated the problem of evaluating the index of Toeplitz type operators on Hardy spaces related to overdetermined elliptic systems. This problem is easily specified within the framework of analysis on manifolds.…”

Section: Introductionmentioning

confidence: 99%