Spectral asymptotics of Toeplitz operators on Zoll manifolds
type: Item
instance of: scholarly article
title: Spectral asymptotics of Toeplitz operators on Zoll manifolds
zbMATH Open document ID: 0909.47018
author: K. Okikiolu
author: Victor Guillemin
published in: Journal of Functional Analysis
publication date: 1998-11-19T00:00:00Z
review text: The authors give the analogue of the strong Szegő limit theorem for Zoll type operators on smooth compact closed manifolds. The main result is the spectral asymptotic of Toeplitz operators. They describe the second-order asymptotic formula and note that analogous formulae may be obtained for an arbitrary order.
Mathematics Subject Classification ID: 47B35
Mathematics Subject Classification ID: 58J60
zbMATH DE Number: 1077107
zbMATH Keywords: Toeplitz operators
zbMATH Keywords: spectral asymptotic
zbMATH Keywords: Zoll manifolds
zbMATH Keywords: strong Szegő limit theorem
zbMATH Keywords: Zoll type operators
zbMATH Keywords: smooth compact closed manifolds
zbMATH Keywords: second-order asymptotic formula
reviewed by: N. Karapetiants
MaRDI profile type: Publication
full work available at URL: jfan.1996.3044
OpenAlex ID: W2050077523
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DOI: 10.1006/JFAN.1996.3044
description: scientific article; zbMATH DE number 1077107